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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Shuffle Approach Towards Quantum Affine and Toroidal Algebras

Shuffle Approach Towards Quantum Affine and Toroidal Algebras

Tsymbaliuk, Alexander

Paperback

Series: Springerbriefs in Mathematical Physics, Book 49

AlgebraGeneral MathematicsPhysics

ISBN10: 9819931495
ISBN13: 9789819931491
Publisher: Springer Nature
Published: Aug 8 2023
Pages: 130
Weight: 0.47
Height: 0.31 Width: 6.14 Depth: 9.21
Language: English
This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019.
The shuffle approach to Drinfeld-Jimbo quantum groups of finite type (embedding their positive subalgebras into q-deformed shuffle algebras) was first developed independently in the 1990s by J. Green, M. Rosso, and P. Schauenburg. Motivated by similar ideas, B. Feigin and A. Odesskii proposed a shuffle approach to elliptic quantum groups around the same time. The shuffle algebras in the present book can be viewed as trigonometric degenerations of the Feigin-Odesskii elliptic shuffle algebras. They provide combinatorial models for the positive subalgebras of quantum affine algebras in their loop realizations. These algebras appeared first in that context in the work of B. Enriquez.

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