Seminar on algebraic groups and related finite groups held at the Institute for Advanced Study, Princeton/NJ, 1968/69

Cover of: Seminar on algebraic groups and related finite groups |

Published by Springer-Verlag in Berlin, New York .

Written in English

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Subjects:

  • Linear algebraic groups.,
  • Finite groups.

Edition Notes

Includes bibliographies.

Book details

Statement[by] A. Borel [and others].
SeriesLecture notes in mathematics,, 131, Lecture notes in mathematics (Springer-Verlag) ;, 131.
ContributionsBorel, Armand., Institute for Advanced Study (Princeton, N.J.)
Classifications
LC ClassificationsQA3 .L28 no. 131
The Physical Object
Paginationvii, 321 p.
Number of Pages321
ID Numbers
Open LibraryOL5445786M
LC Control Number73119453

Download Seminar on algebraic groups and related finite groups

Seminar on Algebraic Groups and Related Finite Groups Held at The Institute for Advanced Study, Princeton/NJ, / Seminar on Algebraic Groups and Related Finite Groups Held at the Institute for Advanced Study, Princeton/NJ, / Authors: Borel, A., Carter, R.W., Curtis, C Brand: Springer-Verlag Berlin Heidelberg.

Buy Seminar on Algebraic Groups and Related Finite Groups: Held at the Institute for Advanced Study, Princeton/NJ, /69 (Lecture Notes in Mathematics) on FREE SHIPPING on Cited by: 4. Main Seminar on Algebraic Groups and Related Finite Groups Seminar on Algebraic Groups Seminar on algebraic groups and related finite groups book Related Finite Groups Armand Borel, R.

Carter, Charles W. Curtis, Nagayoshi Iwahori. Get this from a library. Seminar on algebraic groups and related finite groups, held at the Institute for Advanced Study, Princeton/NJ, / [Armand Borel; Institute for Advanced Study (Princeton, N.J.);].

Get this from a library. Seminar on algebraic groups and related finite groups: held at the Institute for advanced study, Princeton-NJ, [Armand Borel; Roger William Carter; Charles W Curtis; et al]. Cite this chapter as: Springer T.A. () Cusp forms for finite groups. In: Seminar on Algebraic Groups and Related Finite Groups.

Lecture Notes in Mathematics, vol Cited by: In Seminar on Algebraic Groups and Related Finite Groups (The Institute for Advanced Study, Princeton, NJ, /69), Lecture Notes in Mathematics, Vol.

Springer-Verlag, Berlin. Borel, A. Cited by: Representations of Finite Groups: Local Cohomology and Support (Oberwolfach Seminars Book 43) - Kindle edition by Benson, David J., Iyengar, Srikanth, Krause, Henning.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Representations of Finite Groups: Local Cohomology and Support (Oberwolfach Cited by: The first book I read on algebraic groups was An Introduction to Algebraic Geometry and Algebraic Groups by Meinolf Geck.

As I recall, the book includes a lot of examples about the classical matrix groups, and gives elementary accounts of such things like computing the tangent space at the identity to get the Lie algebra. Linear Algebraic Groups and Finite Groups of Lie Type; This approach will help students to understand the relationship between these two classes of groups.

The book covers many topics that are central to the subject, but missing from existing textbooks. Seminar on Algebraic Groups and Related Finite Groups.

Lecture Notes in Mathematics Cited by: NSF Advanced Science Seminar on Algebraic Groups (Bowdoin), Sum-mer (L) Queen Mary College (London), May{June (V/L) Oberwolfach conference (group theory), June AMS Symposium on Representations of Finite Groups and Related Top-ics (Madison), April AMS Annual Meeting (Atlantic City), January Let G be a connected reductive algebraic group defined over a finite field Fq.

In [F. Digne, G.I. Lehrer, J. Michel, On Gel'fand–Graev characters of reductive groups with disconnected centre, J. Seminar on Transformation groups [33], that is, the action of a group G on a topological His book [32] of historical essays is an ambitious work that covers Seminar on Algebraic Groups and Related Finite Groups.

Lecture Notes in Mathematics. [23] Borel, A. Deane Montgomery (). Please change your book mark. The Algebra Research Group at Kansas State University engages in a wide variety of research topics in algebra and relate fields. Thay include respresentation theory of algebraic groups, quantum groups, Lie algebras, vertex operator algebras, cohomology theory of finite groups and Lie algebras and support varieties.

BOREL, ARMAND(b. la Chaux-de-Fonds, Switzerland, 21 May ; d. Princeton, New Jersey, 11 August )mathematics, Lie groups, algebraic groups, arithmetic groups, groups and linear algebraic groups played a central role in Borel’s work. His exploration of these was basic in important trends in pure mathematics in the second half of the twentieth century, for example in the.

In Seminar on Algebraic Groups and Related Finite Groups (The Institute for Advanced Study, Princeton, N.J., /69), Lecture Notes in Mathematics, Vol.

Supercharacters of unipotent groups defined by involutions (extended abstract). Maximal Subgroups of Finite Groups. Abstract: We will discuss elementary properties of maximal subgroups of finite groups with particular emphasis on the maximal subgroups of finite solvable groups.

Some recent results and open questions will also be discussed. October 9: – LIT No seminar: Because of colloquium talk. entation of G' should be cuspidal (see Seminar on algebraic groups and related finite groups, by A.

Borel et al., Lecture Notes in Mathematics,pp. and ). In this paper we prove Macdonald's conjecture. More precisely, for T as above and 0 an arbitrary character of TF we construct. The core of this block seminar were the rigidity theorems of Margulis and Mostow.

The participants were introduced to methods and ideas behind the proof of Margulis Superrigidity as well as to general background material on arithmetic groups, roughly based on the book "Introduction to arithmetic groups" by Dave Witte Morris. Rational growth in virtually abelian groups Evetts, Alex, Illinois Journal of Mathematics, ; The Transitive Permutation Groups of Degree 32 Cannon, John J.

and Holt, Derek F., Experimental Mathematics, ; Full-featured peak reduction in right-angled Artin groups Day, Matthew B, Algebraic & Geometric Topology, ; On the conjugacy growth functions of groups Guba, Victor and Sapir, Mark Cited by: AGNT seminarhrs. MV:L14 - Zero loci of Brauer elements on semi-simple algebraic groups.

Our proof requires the classification of finite simple groups. In particular, we observed that for every finite simple group of Lie type G, there exists a prime p such that =G whenever S is a Sylow 2-subgroup and P.

(source: Nielsen Book Data) Summary Based on invited lectures at the Canadian Algebra Seminar, this volume examines finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups and homological algebra.

The class of R-factorizable groups (see [3, Chapter 8]) contains all pseudocompact groups as well as σ-compact groups. We note that by Theorem of [3], a locally compact group is R. You might find section in Carter's book "Finite Groups of Lie Type" a useful read as he reviews the classification of simple algebraic groups.

The simply connected groups you list are simple algebraic groups and are simple as an abstract group under the conditions I gave in my answer.

Spaltenstein, N. - Nilpotent orbits of exceptional Lie algebras over algebraically closed fields of bad characteristic, to appear, J. Austral. Math. Soc. Springer, T.

and R. Steinberg - Conjugacy classes, in: Seminar on algebraic groups and related finite groups, Lecture Notes in MathematicsSpringer-Verlag, BerlinHeidelberg-New York Cited by: Based on invited lectures at the Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra.

The Algebra Seminar series presents Dr. Xiaoyu Liu of Wright State University discussing “Divisible Codes over Various Algebraic Alphabets” on Tuesday, Oct. 29, from 5 to 6 p.m. in Morton Abstract: InHarold N. Ward introduced the concept of divisibility in linear codes and investigated linear codes over finite fields from this point of view.

The conference is the third meeting within prof. Le Donne's ERC project GeoMeG (Geometry of Metric Groups). The idea for the meeting is to focus on the following subjects: 1) large-scale geometry of nilpotent groups (and as the sub-Riemannian geometry appear as asymptotic cone) 2) Heintze groups (= homogeneous negatively curved manifolds) and their boundaries (which are nilpotent groups.

We give a best possible and somewhat surprising solution for this Waring type problem for (non-abelian) finite simple groups of sufficiently high order, showing that Cited by: In this undergraduate level seminar series, topics vary from year to year.

Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. Prerequisites. Linear Algebra ( or ) or Algebra I () Textbook. Group theory: permutation groups, symmetry groups, linear algebraic groups, Jordan-Holder and Sylow theorems, finite abelian groups, solvable and nilpotent groups, p-groups, group extensions.

Ring theory: Prime and maximal deals, localization, Hilbert basis theorem, integral extensions, Dedekind domains, primary decomposition, rings associated. I’m about to deliver the final manuscript of my book Group Cohomology and Algebraic Cycles to Cambridge University Press.

As a sort of early advertisement, here’s the draft preface. I thank them at the end of the preface, but I’d like to say here too: I thank Ben Antieau and Peter Symonds for many useful suggestions.

The Seminar on Algebraic K-theory and Algebraic Number Theory was held at the East-West Center in Honolulu, Hawaii on Januarywith support from the National Science Foundation, Grant DMS and the Japan Society for the Promotion of Science (JSPS).

Grant MPCS Mathematics Subject Classification ( Revision).File Size: 1MB. Arkady Berenstein () Quantum Groups. The course will be about algebraic aspects of Quantum Groups. Quantum groups (or more precisely quantized enveloping algebras) were introduced independently by Drinfeld and Jimbo aroundas an algebraic framework for.

Seminar Archive. Grzegorz Bobinski made his notes from some of the seminar talks available on his web page. Friday, 31 JanuaryRoom V Sophiane Yahiatene (Bielefeld): Hurwitz action in extended Weyl groups with application to hereditary abelian categories Abstract: The main object of this talk is the family of extended Weyl groups.

"A Degree Formula for Equivariant Cohomology" 20 Mar no seminar Spring Break 27 Mar Louis Rowen Bar-Ilan Univ "The algebraic theory of systems" 3 Apr Iulia Gheorghita Boston College "Effective divisors in the Hodge bundle" 10 Apr Gabriel Navarro ia "Character Tables and Sylow Subgroups of Finite Groups" 17 Apr John Sheridan.

By quantum matrix algebras I mean algebras related to quantum groups and close in a sense to that Mat(m).

These algebras have numerous applications. In particular, by using them (more precisely, the so-called reflection equation algebras) we succeeded in defining partial derivatives on the enveloping algebras U(gl(m)).

Algebraic Groups This chapter, like the first, presents introductory material. In $ we set forth (generally without proofs) basic results on the structure of algebraic groups, including the classification of semisimple groups over algebraically closed fields and over arbitrary fields, as well.

Algebraic Geometry and Representation Theory Seminar Room C Speaker: Dmitry Gourevitch Title: Whittaker supports of representations of reductive groups Abstract: opens in new window in html pdf opens in new window. Finally, we study tensor functors between Verlinde categories of semisimple algebraic groups arising from the semisimplification construction, and objects of finite type in categories of modular representations of finite groups (i.e., objects generating a fusion category in .The Department offers the following wide range of graduate courses in most of the main areas of mathematics.

Courses numbered are taken by senior undergraduates as well as by beginning Masters degree students. These courses generally carry three hours of credit per semester. Courses numbered are taken by Masters and Ph.D. students; they generally carry three hours of .Integral quadratic forms and volume formulas UBC graduate seminar, winter This seminar will feature talks by students.

The principal subject will be the representation of positive integers by positive definite integral quadratic forms, and the main result will be Siegel's formula for the number of ways a given positive integer can be expressed in terms of a given form and other forms in.

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