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Showing 1 to 3 of 3 for “"quantum algebra"”.
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Modules over affine lie algebras at critical level and quantum groups by Qian Lin.
There are two algebras associated to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd root of unity with (some) fixed central character is equivalent to the core of …
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Kauffman Bracket Skein Modules And The Quantum Torus
… . If F is a surface, then Kq (F x [0, 1]) is an algebra, and Kq (M ) is a module over Kq ((∂M ) x [0, 1]). One motivation for the definition is that if L [SUBSET OF] S 3 is a knot, then the (colored) Jones polynomials Jn (L) ∈ C[q ±1 ] can be computed from Kq (S 3 \ L). It was shown in [14] that …
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Properties of Polynomial Identity Quantized Weyl Algebras
… work on Polynomial Identity (PI) quantized Weyl algebras we begin with a brief survey of Poisson geometry and quantum cluster algebras, before using these as tools to classify the possible centers of such algebras in two different ways. In doing so we explicitly calculate the formulas of the …