Results 31 to 40 of about 82 (65)
Higher level appell functions, modular transformations and non-unitary characters [PDF]
, 2003 In this thesis, we firstly extend elements and periodicity properties of the theta function theory to functions that represent a wider domain of symmetries and properties, graded with different amounts of p ≥ 1, p ϵ N.
Ghominejad, Mehrdad
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Flat Connections and Quantum Groups
, 2002 20 pages. To appear in the Proceedings of the 2000 Twente Conference on Lie Groups, in a special issue of Acta Applicandae MathematicaeWe review the Kohno-Drinfeld theorem as well as a conjectural analogue relating quantum Weyl groups to the monodromy of
Toledano-Laredo, Valerio
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The global quantum duality principle: a survey through examples [PDF]
, 2002 Let R be a 1-dimensional integral domain, let h (non-zero) be a prime element, and let \HA be the category of torsionless Hopf algebras over R. We call H in \HA a "quantized function algebra" (=QFA), resp.
GAVARINI, FABIO, Fabio Gavarini
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Weight module classifications for Bershadsky--Polyakov algebras
, 2023 The Bershadsky--Polyakov algebras are the subregular quantum hamiltonian reductions of the affine vertex operator algebras associated with $\mathfrak{sl}_3$.
Ridout, David +2 more
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Symmetries and invariants of twisted quantum algebras and associated Poisson algebras
, 2008 29 pages, more references addedInternational audienceWe construct an action of the braid group B_N on the twisted quantized enveloping algebra U'_q(o_N) where the elements of B_N act as automorphisms.
Ragoucy, E., Molev, A. I.
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Classification des Objets Galoisiens deUq(𝔤) à Homotopie PrèS
, 2007 In FrenchInternational audienceFor any Drinfeld-Jimbo quantum enveloping algebra Uq(g) and for any family $\lambda =(\lambda _{ij})_{1\leq i < j\leq t} \in k^{\star}$ of invertible elements of the base field, we explicitly construct a Galois object $A_ ...
Thomas Aubriot, Aubriot, Thomas
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Geometric Dirac operator on noncommutative torus and $M_2(\Bbb C)$
, 2023 We solve for quantum-geometrically realised spectral triples or `Dirac operators' on the noncommutative torus $\Bbb C_\theta[T^2]$ and on the algebra $M_2(\Bbb C)$ of $2\times 2$ matrices with their standard quantum metrics and associated quantum Levi ...
Lira-Torres, E., Majid, S.
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Canonical bases of loop algebras via Quot schemes, I
, 2004 51 Pages, LatexWe propose a construction of some canonical bases for quantum loop algebras of Kac-Moody algebras. We consider a smooth projective curve X, a group of automorphism G of X such that X/G=P^1, and we consider some Quot schemes of G ...
Schiffmann, Olivier
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Quantum Dynamical coBoundary Equation for finite dimensional simple Lie algebras
, 2007 46 pagesFor a finite dimensional simple Lie algebra g, the standard universal solution R(x) in $U_q(g)^{\otimes 2}$ of the Quantum Dynamical Yang--Baxter Equation can be built from the standard R--matrix and from the solution F(x) in $U_q(g)^{\otimes 2}$
Roche, P. +6 more
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ℤ2-gradings Of Clifford Algebras And Multivector Structures
, 2015 Let script C signℓ(V, g) be the real Clifford algebra associated with the real vector space V, endowed with a nondegenerate metric g. In this paper, we study the class of ℤ2-gradings of script C signℓ(V, g) which are somehow compatible with the ...
Miralles, D +5 more
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