From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits).
Alexander V. Turbiner
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Universal enveloping algebras of Poisson Hopf algebras
Journal of Algebra, 2015 37 pages.
Lü, Jiafeng +2 more
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Universal enveloping algebra of a pair of compatible Lie brackets
, 2021 Vsevolod Gubarev
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Universal enveloping algebras with subexponential but not polynomially bounded growth [PDF]
, 1976 Martha Smith
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Crystalizing theq-analogue of universal enveloping algebras
Communications in Mathematical Physics, 1990 Let \(U_ q\) denote the quantized enveloping algebra over \({\mathbb{Q}}(q)\) associated to a symmetrizable Kac-Moody algebra \({\mathfrak g}\). For any integrable \(U_ q\)-module M the author defines a crystal base for M to be a pair (L,B) consisting of a lattice L of M and a \({\mathbb{Q}}\)-basis B of L/qL with certain nice properties.
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The Rigid Dualizing Complex of a Universal Enveloping Algebra [PDF]
, 1998 Amnon Yekutieli
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Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm's hidden variables. [PDF]
Sci Rep, 2022 Santilli RM, Sobczyk G.
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Universal Enveloping Algebras of Weighted Differential Poisson Algebras
The $λ$-differential operators and modified $λ$-differential operators are generalizations of classical differential operators. This paper introduces the notions of $λ$-differential Poisson ($λ$-DP for short) algebras and modified $λ$-differential Poisson ($λ$-mDP for short) algebras as generalizations of differential Poisson algebras.
Chen, Ying +2 more
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K-Theory for Semigroup C*-Algebras and Partial Crossed Products. [PDF]
Commun Math Phys, 2022 Li X.
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A note on the restricted universal enveloping algebra of a restricted\n Lie-Rinehart Algebra [PDF]
, 2015 Peter Schauenburg
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