Titlebook: Shuffle Approach Towards Quantum Affine and Toroidal Algebras; Alexander Tsymbaliuk Book 2023 The Author(s), under exclusive license to Sp

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小母馬

Quantum Loop ,, Its Two Integral Forms, and Generalizations,nstruct a family of PBWD (Poincaré-Birkhoff-Witt-Drinfeld) bases for the quantum loop algebra . in the new Drinfeld realization. The shuffle approach also allows to strengthen this by constructing a family of PBWD bases for the RTT form (arising naturally from a different, historically the first, re

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Quantum Toroidal ,, Its Representations, and Geometric Realization,elliptic Hall algebra of?[.], which provides its “90 degree rotation” automorphism . (first discovered in?[.]). We also establish the shuffle realization of its “positive” subalgebra and its particular commutative subalgebra, due to?[., .], respectively. Following?[., ., .], we discuss a combinatori

GUILT

Quantum Toroidal ,, Its Representations, and Geometric Realization,e some flavor of the applications to the geometry by realizing Fock modules and their tensor products via equivariant .-theory of the Gieseker moduli spaces, as well as evoking the .-theoretic version of the Nakajima’s construction from?[.].

殺人

Book 2023Drinfeld–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 ellipt

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Alexander TsymbaliukShuffle approach is a powerful technique in treating both algebraic and geometric aspects of quantum affinized algebras.Collects in one volume information about shuffle algebras which usually is sprea

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SpringerBriefs in Mathematical Physicshttp://image.papertrans.cn/s/image/866792.jpg

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978-981-99-3149-1The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023