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# ðŸ“™ Schur-Weyl duality for quantum groups by Yi Sun â€” free epub

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- Series:
**expository notes** - Author:
**Yi Sun** - Year:
**2014** - Language:
**English** - ISBN:

- File size:
**340 698** - Format:
**pdf**

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The Wigner-Weyl isomorphism for quantum mechanics on a compact simple Liegroup G is developed in detail. Several features are shown to arise which have nocounterparts in the familiar Cartesian case. Notable among these is the notion of asemiquantized phas...

The theory of Schur-Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine ...

Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path t...

Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path t...

Let ? be a complex th root of unity for an odd integer >1 . For any complex simple Lie algebra g , let u ? =u ? (g) be the associated "small" quantum enveloping algebra. This algebra is a finite dimensional Hopf algebra which can be realised as a subalge...

The purpose of this paper is to study categorifications of tensor products of finite-dimensional modules for the quantum group for sl2. The main categorification is obtained using certain Harish-Chandra bimodules for the complex Lie algebra gln. For the s...

This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. Part I of the text presents the basic theory of Hopf algebras, Van Daele's duality theory of algebraic quantum group...

This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. Part I of the text presents the basic theory of Hopf algebras, Van Daele's duality theory of algebraic quantum group...