English and French.

Includes bibliographical references.

Sur les d�ecompositions cellulaires des espaces $G/B$ / C. Chevalley -- Introduction to middle intersection cohomology and perverse sheaves / Armand Borel -- The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and rational smoothness of Schubert varieties / James B. Carrell -- Simulating perverse sheaves in modular representation theory / Edward Cline, Brian Parshall and Leonard Scott -- A brief survey of Kazhdan-Lusztig theory and related topics / Vinay Deodhar -- Green theory for Hecke algebras and Harish-Chandra philosophy / Richard Dipper -- Liftable deformations and Hecke algebras / M. Schaps -- A Hecke algebra of the symmetric group / Eli A. Siegel -- Character sheaves: Applications to finite groups / Bhama Srinivasan -- Real algebraic quotients / Ralph J. Bremigan -- Frobenius splitting of spherical varieties / M. Brion and S. P. Inamdar -- Generalized Kloosterman sums / Romuald D�abrowski -- Symmetric $k$-varieties / A. G. Helminck -- Identities for prounipotent groups / Andy R. Magid -- On the structure of nonreduced parabolic subgroup-schemes / Christian Wenzel -- Weight modules without highest weight / A. J. Coleman -- Extremal composition factors for groups of Lie type / J. E. Humphreys -- Relative invariants of the polynomial rings over the finite and tame type quivers / Koike Kazuhiko -- Hilbert series for modules of covariants / Bram Broer -- The first fundamental theorem of invariant theory and spherical subgroups / Roger E. Howe -- Algebraic families of $\mathrm {O}(2)$-actions on affine space $\mathbf {C}^4$ / Mikiya Masuda and Ted Petrie -- Algebraic equivariant vector bundles and the linearity problem / Lucy Moser-Jauslin -- Equivariant matrix valued functions / George F. Seelinger -- Constructive invariant theory / David L. Wehlau --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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