Complements of discriminants of smooth maps : topology and applications

Bibliographic Information

Complements of discriminants of smooth maps : topology and applications

V.A. Vassiliev

(Translations of mathematical monographs, v. 98)

American Mathematical Society, c1992

Other Title

Дополнения к дискриминантам гладких отображений : топология и приложения

Dopolnenii︠a︡ k diskriminantam gladkikh otobrazheniĭ : topologii︠a︡ i prilozhenii︠a︡

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Note

Bibliographical references: p. 203-208

Description and Table of Contents

Description

Articles in this volume cover topics related to representation theory of various algebraic objects such as algebraic groups, quantum groups, Lie algebras, (finite- and infinite-dimensional) finite groups, and quivers. Collected in one book, these articles show deep relations between all these aspects of Representation Theory, as well as the diversity of algebraic, geometric, topological, and categorical techniques used in studying representations. This book is suitable for graduate students and research mathematicians interested in representation theory.

Table of Contents

  • H. H. Andersen -- Sum formulas and Ext-groups
  • S. Doty -- Schur-Weyl duality in positive characteristic
  • A. Francis and W. Wang -- The centers of Iwahori-Hecke algebras are filtered
  • University of Georgia Vigre Algebra Group, On Kostant's theorem for Lie algebra cohomology
  • X. He -- $G$-stable pieces and partial flag varieties
  • L. Ji -- Steinberg representations and duality properties of arithmetic groups, mapping class groups, and outer automorphism groups of free groups
  • S. Kumar, G. Lusztig, and D. Prasad -- Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups
  • G. Liu -- Classification of finite-dimensional basic Hopf algebras according to their representation type
  • G. Lusztig -- Twelve bridges from a reductive group to its Langlands dual
  • B. J. Parshall and L. L. Scott -- Some new highest weight categories
  • I. Pop and A. Stolin -- Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation
  • C. M. Ringel -- The relevance and the ubiquity of Prufer modules
  • A. Savage -- Quivers and the Euclidean group
  • S. Shang and Y. Gao -- $\mathfrak {eu}_2$-Lie admissible algebras and Steinberg unitary Lie algebras
  • T. Shoji -- Lusztig's conjecture for finite classical groups with even characteristic
  • Y. Su -- A survey on quasifinite representations of Weyl type Lie algebras
  • N. Xi -- Maximal and primitive elements in baby Verma modules for type $B_2$
  • Y.-F. Yao and B. Shu -- Irreducible representations of the special algebras in prime characteristic.

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