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Complex Semisimple Quantum Groups and Representation Theory

representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its;

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Affine Lie Algebras and Quantum Groups

algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory, but other;

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Fuchsian Groups

complex variable, number theory, algebraic and differential geometry, topology, Lie theory, representation theory, and group theory.;

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Mumford-Tate Groups and Domains

dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge;

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Mumford-Tate Groups and Domains

dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge;

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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie;

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Complex Semisimple Lie Algebras

complex numbers. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent;

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Flag Varieties

Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory;

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Representation Theory of Semisimple Groups

In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit;

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Semisimple Lie Algebras

algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.;

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Semisimple Lie Algebras

algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.;

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Algebra 4

This book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers;

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Algebra 4

This book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers;

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New Directions in Hopf Algebras

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Mathematical Sciences Research Institute Publications

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Representation Theory and Automorphic Forms

This book is a course in representation theory of semisimple groups, automorphic forms and the relations between these two subjects written;

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Dynamical Systems and Semisimple Groups

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups;

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Dynamical Systems and Semisimple Groups

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups;

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Quantum Groups Primer

semisimple Lie algebras would also be helpful. The book is aimed as a primer for mathematicians and takes a modern approach leading into knot theory;

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Kirillov's Seminar on Representation Theory

theory held at Moscow University. The papers deal with various aspects of representation theory for Lie algebras and Lie groups, and its;

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Foundations of Quantum Group Theory

) treated as mathematical objects in their own right. After formal definitions and basic theory, the book goes on to cover such topics as quantum;

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Lectures on Algebraic Quantum Groups

This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized;

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Algebra - Representation Theory

Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development;

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Quantum Groups and Lie Theory

quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and;

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Introduction to Quantum Groups

basis with rather remarkable properties. This book will be of interest to mathematicians working in the representation theory of Lie groups and;

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SL2(R)

SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one;

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SL2(R)

SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one;

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