Search Results - "Lie algebra"

Lie algebras and algebraic groups by Tauvel, Patrice

Subjects: “…Lie algebras.…”

Lie algebras and algebraic groups by Tauvel, Patrice

Contents: “…Preface -- Results on topological spaces -- Rings and modules -- Integral extensions -- Factorial rings -- Field extensions -- Finitely generated algebras -- Gradings and filtrations -- Inductive limits -- Sheaves of functions -- Jordan decomposition and some basic results on groups -- Algebraic sets -- Prevarieties and varieties -- Projective varieties -- Dimension -- Morphisms and dimension -- Tangent spaces -- Normal varieties -- Root systems -- Lie algebras -- Semisimple and reductive Lie algebras -- Algebraic groups -- Affine algebraic groups -- Lie algebra of an algebraic group -- Correspondence between groups and Lie algebras -- Homogeneous spaces and quotients -- Solvable groups -- Reductive groups -- Borel subgroups, parabolic subgroups and Cartan subgroups -- Cartan subalgebras, Borel subalgebras and parabolic subalgebras -- Representations of semisimple Lie algebras -- Symmetric invariants -- S-triples -- Polarizations -- Results on orbits -- Centralizers -- S -root systems -- Symmetric Lie algebras -- Semisimple symmetric Lie algebras -- Sheets of Lie algebras -- Index and linear forms -- References -- Index of notations -- Index of terminologies.…”
SpringerLink - Click here for access

Conjugacy classes in semisimple algebraic groups by Humphreys, James E.

Subjects:

D-modules, perverse sheaves, and representation theory English ed. by Hotta, R. (Ryoshi)

Contents: “…Preface -- Introduction -- Part I: D-modules and perverse sheaves -- Preliminary notions -- Coherent D-modules -- Holonomic D-modules -- Analytic D-modules and the de Rham functor -- Theory of meromorphic connections -- Regular holonomic D-modules -- Riemann-Hilbert correspondence -- Perverse sheaves -- Part II: Representation theory -- Algebraic groups and Lie algebras -- Conjugacy classes of semisimple Lie algebras -- Representations of Lie algebras and D-modules -- Character formula of highest weight modules -- Hecke algebras and Hodge modules -- A: Algebraic varieties -- B: Derived categories and derived functors -- C: Sheaves and functors in derived categories -- D: Filtered rings -- E: Symplectic geometry -- References -- Index.…”
SpringerLink - Click here for access

Representations of reductive groups : in honor of the 60th birthday of David A. Vogan, Jr. by SpringerLink (Online service)

Contents: “…., Parameters for Twisted Representations -- Barbasch, Ciubotaru, Ladder Representations of GL (n, Qp) -- Bhargava, Gross, Wang, Arithmetic Invariant Theory II: Pure Inner Forms and Obstructions to the Existence of Orbits -- Bonnafé, Geck, Hecke Algebras with Unequal Parameters and Vogan's Left Cell Invariants -- Graham, Li, The Smooth Loci of Spiral Schubert Varieties of Type A2 -- He, Centers and Cocenters of 0-Hecke Algebras -- Huang, Dirac Cohomology, Elliptic Representations, and Endoscopy -- Kobayashi, A Program for Branching Problems in the Representation Theory of Real Reductive Groups -- Kostant, Equations for a Filtration of Sheets and The Variety of Singular Elements of a Complex Semisimple Lie Algebra -- Lusztig, On Conjugacy Classes in a Reductive Group -- Lusztig, Vogan, Jr., Hecke Algebras and Involutions in Coxeter Groups -- Marberg, Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Groups -- McGovern, Upper Semicontinuity of KLV Polynomials for Certain Blocks of Harish-Chandra Modules -- Schmid, Vilonen, Hodge Theory and Unitary Representations, in the Example of SL(2,R) -- Shelstad, On Elliptic Factors in Real Endoscopic Transfer I -- Wallach, On the Gelfand-Kirillov Dimension of a Discrete Series Representation -- Williamson, A Reducible Characteristic Variety in Type A.…”
SpringerLink - Click here for access