Results 21 to 30 of about 82 (65)
Perverse sheaves and quantum Grothendieck rings
, 2003 20 pagesWe define a quantum analogue of the Grothendieck ring of finite dimensional modules of a quantum affine algebra of simply laced type. The construction is based on perverse sheaves on a variety related to quivers.
Varagnolo, Michela, Vasserot, Eric
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Quantum automorphism groups of homogeneous graphs
, 2005 30 pagesAssociated to a finite graph $X$ is its quantum automorphism group $G$. The main problem is to compute the Poincar\\é series of $G$, meaning the series $f(z)=1+c_1z+c_2z^2+...$ whose coefficients are multiplicities of 1 into tensor powers of the ...
Banica, Teodor
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Graded quantum groups and quasitriangular Hopf group-coalgebras
, 2005 18 pagesStarting from a Hopf algebra endowed with an action of a group G by Hopf automorphisms, we construct (by a twisted double method) a quasitriangular Hopf G-coalgebra.
Virelizier, A., Virelizier, Alexis
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Quantum group symmetry of integrable systems with or without boundary
, 2002 14 pagesWe present a construction of integrable hierarchies without or with boundary, starting from a single R-matrix, or equivalently from a ZF algebra.
Ragoucy, E.
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Deformation of finite dimensional C*-quantum groupoids
, 2003 In this work we prove, in full details, that any finite dimensional $C^*$-quantum groupoid can be deformed in order that the square of the antipode is the identity on the base.
Vallin, Jean-Michel
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Duality and Representations for New Exotic Bialgebras
, 2002 33 pages, LaTeX2e, using packages: cite,amsfonts,amsmath,subeqn; reference updated; v3: corrections in subsection 3.4We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of ...
Arnaudon, D. +3 more
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Quantum SL(3,C)'s: the missing case
, 2005 10 pages; needs LaTeX2e, AMS-LaTeX, and PSTricksWe study the only missing case in the classification of quantum SL(3,C)'s undertaken in our paper [J.
Ohn, Christian
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Vertex operators for quantum groups and application to integrable systems
, 2002 19 pages, no figure, Latex2e Error in theorem 3.3 and lemma 3.1 correctedStarting with any R-matrix with spectral parameter, obeying the Yang-Baxter equation and a unitarity condition, we construct the corresponding infinite dimensional quantum group U_ ...
Ragoucy, E.
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, 2002 23 pages, 7 Postscript figures (uses epsfig.sty)For a commutative algebra the shuffle product is a morphism of complexes. We generalize this result to the quantum shuffle product, associated to a class of non-commutative algebras (for example all the ...
Ospel, Cyrille
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Homologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiques
, 2004 41 pages, article in frenchWe study Hochschild homology and cohomology for some polynomial algebras mixing both ``classical'' relations ($XY-YX=1$) and ``quantum'' relations ($XY={\l}YX$).
Richard, Lionel
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