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Double Hall Algebra Approach To Affine Quantum Schur-Weyl Th

respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur-Weyl theory. To;

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Affine Flag Varieties and Quantum Symmetric Pairs

$A$. Recently, the quantum group associated to partial flag varieties of finite type $B/C$ is shown to be a coideal subalgebra of the quantum;

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The q-Schur Algebra

quantum analogies, the text goes on to discuss the Schur Functor and the 0-Schur algebra. The next chapter considers Steinberg's tensor product;

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Schur Algebras and Representation Theory

the quasi-hereditariness of the Schur algebra are discussed. The opportunity is taken to give an account of quantum versions of Schur algebras;

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Cambridge Tracts in Mathematics

the quasi-hereditariness of the Schur algebra are discussed. The opportunity is taken to give an account of quantum versions of Schur algebras;

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Linear Algebra and Geometry

in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and;

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Cambridge Studies in Advanced Mathematics

detailed introduction to the subject, covering classical topics such as the Littlewood-Richardson rule and the Schur-Weyl duality. Importantly the;

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Commutation Relations, Normal Ordering, and Stirling Numbers

in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated by two letters U and V subject to the commutation;

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London Mathematical Society Lecture Note Series

Cherednik's algebra, and its impressive applications. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their;

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Cambridge Studies in Advanced Mathematics

mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory;

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Affine And Projective Geometry

' understanding of abstract algebra with its nontraditional, geometry-driven approach Demonstrates how one branch of mathematics can be used to prove;

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Theory Of Groups And Symmetries

constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr;

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Quantum Field Theory Approach to Condensed Matter Physics

A balanced combination of introductory and advanced topics provides a new and unique perspective on the quantum field theory approach to;

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An Introduction to Symmetric Functions and Their Combinatorics

, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi-Trudi identities; the involution $omega$; the Hall inner;

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Applications of Affine and Weyl Geometry

examine Walker structures, Riemannian extensions, and Kahler--Weyl geometry from this viewpoint. This book is intended to be accessible to;

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Applications of Affine and Weyl Geometry

Walker structures, Riemannian extensions, and Kahler--Weyl geometry from this viewpoint. This book is intended to be accessible to mathematicians;

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Algebras of Functions on Quantum Groups, Part 1

The book is devoted to the study of algebras of functions on quantum groups. The authors' approach to the subject is based on the parallels;

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Spin Dynamics in Two-Dimensional Quantum Materials

phenomena (such as the (quantum) spin Hall effect) in novel topological materials, such as monolayer Weyl semimetals WeTe2 and MoTe2. Indeed, the;

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Affine Lie Algebras and Quantum Groups

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these;

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The Classical Groups

importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth;

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues;

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Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

quickly grasp the physics of quantum Hall states of Dirac fermions, and to catch up on latest research on the quantum Hall effect in graphene.;

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Geometric Analysis and Lie Theory in Mathematics and Physics

include quantum groups, the operator algebra approach to the integer quantum Hall effect, solvable lattice models and Hecke algebras, Yangevins;

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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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Quantum Codes for Topological Quantum Computation

This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological;

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Topological Insulators

to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin;

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Topological Insulators

to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin;

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