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Dimensions of Affine Deligne-Lusztig Varieties

) affine Weyl group of $G$. The associated affine Deligne-Lusztig varieties $X_x(b)$, which are indexed by elements $b in G(F)$ and $x in W$, were;

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Affine Flag Varieties and Quantum Symmetric Pairs

of) partial flag varieties of affine type $C$. The authors show that the quantum groups arising from Lusztig algebras and Schur algebras via;

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Australian Mathematical Society Lecture Series

between representation theory and the structure and geometry of algebraic groups. Particular topics addressed include Kazhdan-Lusztig theory;

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Affine Space Fibrations

of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine;

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The Character Theory of Finite Groups of Lie Type

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive;

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London Mathematical Society Student Texts

theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment;

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Representations of Finite Groups of Lie Type

Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such;

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Representations of Finite Groups of Lie Type

Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such;

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Algebraic Varieties And Automorphism Groups

This volume is the proceedings of the workshop on 'Algebraic Varieties and Automorphism Groups' which was held at RIMS, Kyoto University;

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Polynomial Rings and Affine Algebraic Geometry

groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces;

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Polynomial Rings and Affine Algebraic Geometry: Praag 2018, Tokyo, Japan, February 12-16

groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces;

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Modular Representations of Finite Groups of Lie Type

representations is explored, in the context of Deligne-Lusztig characters. One goal has been to make the subject more accessible to those working;

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Differential Forms on Singular Varieties

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete;

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Representations of Reductive Groups

algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra;

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Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi

The author develops a universal framework to study smooth higher orbifolds on the one hand and highe;...

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Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81

In this book Professor Lusztig solves an interesting problem by entirely new methods: specifically, the use of cohomology of buildings and;

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Hodge Theory and Complex Algebraic Geometry II

varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard-Lefschetz study of Lefschetz pencils, and Deligne theorems on the;

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Hodge Theory and Complex Algebraic Geometry II

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties;

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Actions and Invariants of Algebraic Groups

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to;...

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Varieties of Narrative Analysis

Provides a view of Narrative Analysis to include personal documents, interactive dimensions of story;...

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Reflection Groups & Coxeter Group

scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations;

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Undergraduate Algebraic Geometry

group law, affine and projective varieties, and nonsingularity and dimension. He stresses the connections the subject has with commutative;

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The Culturalist Challenge to Liberal Republicanism

Republicanism, Michael Lusztig assesses the risks that multiculturalism and other forms of culturalism pose to liberal democracy. Establishing the;

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The Culturalist Challenge to Liberal Republicanism

Republicanism, Michael Lusztig assesses the risks that multiculturalism and other forms of culturalism pose to liberal democracy. Establishing the;

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Double Hall Algebra Approach To Affine Quantum Schur-Weyl Th

The theory of Schur-Weyl duality has had a profound influence over many areas of algebra and combina;...

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Sheaves and Functions Modulo P: Lectures on the Woods Hole Trace Formula

The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version;

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Computational Aspects of Polynomial Identities

featured role of Grassmann algebra and the translation to superalgebras. The authors develop Kemer polynomials for arbitrary varieties as tools for;

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