Results 1 to 10 of about 82 (65)
Stokes posets and serpent nests [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 30 pages, 12 ...
Frédéric Chapoton
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Primitive ideals and automorphisms of quantum matrices. [PDF]
, 2007 Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H. +3 more
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Quantum unique factorisation domains [PDF]
, 2006 We prove a general theorem showing that iterated skew polynomial extensions of the type that fit the conditions needed by Cauchon's deleting derivations theory and by the Goodearl-Letzter stratification theory are unique factorisation rings in the sense ...
Lenagan, T.H. +5 more
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4d/2d Correspondence: Instantons and W-Algebras [PDF]
, 2012 In this thesis, we study the 4d/2d correspondence of Alday-Gaiotto-Tachikawa, which relates the class of 4-dimensional N=2 gauge theories (theories of class S) to a 2-dimensional conformal field theory. The 4d gauge theories are obtained by compactifying
Song, Jaewon
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Weyl, Demazure and fusion modules for the current algebra of slr+1
, 2006 We construct a Poincaré–Birkhoff–Witt type basis for the Weyl modules [V. Chari, A. Pressley, Weyl modules for classical and quantum affine algebras, Represent. Theory 5 (2001) 191–223, math.QA/0004174] of the current algebra of slr+1.
Loktev, Sergei, Chari, Vyjayanthi
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Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping
, 2002 17 pages, LatexUsing the contraction procedure introduced by us in Ref. \\cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\\cal U}_{\\sf h}(sl(3))$ which has a remarkably simple coalgebraic ...
Abdesselam, B. +2 more
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Algebraic Quantum Field Theory [PDF]
, 2006 Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras,
Halvorson, Hans, Mueger, Michael
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The t-analogs of q-characters at roots of unity for quantum affine algebras and beyond
, 2004 The q-characters were introduced by Frenkel and Reshetikhin [The q-characters of representations of quantum affine algebras and deformations of W-algebras, in: Recent Developments in Quantum Affine Algebras and Related Topics, in: Contemp.
Hernandez, David
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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Subregular W-algebras of type A
, 2023 © 2022 Zachary Paul FehilySubregular W-algebras are an interesting and increasingly important class of quantum hamiltonian reductions of affine vertex algebras.
Fehily, Z
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