Chess tableaux, powers of two and affine Lie algebras [PDF]
, 2022 Antoine Labelle, Stoyan Dimitrov
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Geometry and affine Lie algebras
Journal of Algebra, 1990 Generalizing work of \textit{J. R. Faulkner} [J. Algebra 26, 1--9 (1973; Zbl 0285.17004)], the author investigates the inner ideal geometry of a faithful irreducible highest weight module \(M\) over an affine Lie algebra \(L\). First the inner ideals of \(M\) are determined using a certain inner product on \(M\).
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BRST Reduction of the chiral Hecke Algebra
, 2006 We explore the relationship between de Rham and Lie algebra cohomologies in the finite dimensional and affine settings. As an application, we describe the BRST reduction of the chiral Hecke algebra as a vertex super algebra.Comment: 35 ...
Shapiro, I.
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Affine slice for the coadjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra [PDF]
, 2011 Patrice Tauvel, Rupert W. T. Yu
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Tensor structures arising from affine Lie algebras. III [PDF]
, 1994 David Kazhdan, G. Lusztig
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Vertex-algebraic structure of principal subspaces of the basic modules for twisted Affine Kac-Moody Lie algebras of type $A_{2n-1}^{(2)}, D_n^{(2)}, E_6^{(2)}$ [PDF]
, 2016 Michael Penn, Christopher Sadowski
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Lie algebras and affine algebraic groups [PDF]
Pacific Journal of Mathematics, 1980 openaire +3 more sources
Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators [PDF]
, 1998 Stephen Berman, Jacek Szmigielski
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Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity
AxiomsWe propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds.
Viktor Abramov
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Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
Journal of High Energy PhysicsA quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it.
Kohki Kawabata +3 more
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