Results 1 to 10 of about 593 (37)
Beilinson–Drinfeld Schubert varieties and global Demazure modules
Forum of Mathematics, Sigma, 2021 We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Ilya Dumanski +2 more
doaj +1 more source
Defining relations of quantum symmetric pair coideal subalgebras
Forum of Mathematics, Sigma, 2021 We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantised enveloping algebras of Kac–Moody type. Our methods are based on star products on noncommutative ${\mathbb N}$-graded algebras.
Stefan Kolb, Milen Yakimov
doaj +1 more source
Realization of graded-simple algebras as loop algebras [PDF]
, 2005 Multiloop algebras determined by n commuting algebra automorphisms of finite order are natural generalizations of the classical loop algebras that are used to realize affine Kac-Moody Lie algebras.
B. Allison +3 more
semanticscholar +1 more source
Crystal Bases for Quantum Generalized Kac–Moody Algebras [PDF]
, 2003 In this paper, we develop the crystal basis theory for quantum generalized Kac–Moody algebras. For a quantum generalized Kac–Moody algebra Uq(g), we first introduce the category Oint of Uq(g)‐modules and prove its semisimplicity.
Kyeonghoon Jeong +2 more
semanticscholar +1 more source
Monstrous Moonshine: The First Twenty‐Five Years [PDF]
, 2004 Twenty‐five years ago, Conway and Norton published in this journal their remarkable paper ‘Monstrous Moonshine’, proposing a completely unexpected relationship between finite simple groups and modular functions.
T. Gannon
semanticscholar +1 more source
Remarks on level one conformal blocks divisors [PDF]
, 2013 We show that conformal blocks divisors of type B_r and D_r at level one are effective sums of boundary divisors of $\bar{M}_{0,n}$. We also prove that the conformal blocks divisor of type $B_r$ at level 1 with weights (\omega_1,\dots,\omega_1) scales ...
Mukhopadhyay, Swarnava
core +3 more sources
Indecomposable representations of the Kronecker quivers [PDF]
, 2010 Let k be a field and Λ the n-Kronecker algebra, this is the path algebra of the quiver with 2 vertices, a source and a sink, and n arrows from the source to the sink.
C. Ringel
semanticscholar +1 more source
Lie Superalgebras arising from bosonic representation [PDF]
, 2012 A 2-toroidal Lie superalgebra is constructed using bosonic fields and a ghost field. The superalgebra contains $osp(1|2n)^{(1)}$ as a distinguished subalgebra and behaves similarly to the toroidal Lie superalgebra of type $B(0, n)$.
Jing, Naihuan, Xu, Chongbin
core +1 more source
Demazure Modules, Chari-Venkatesh Modules and Fusion Products [PDF]
, 2014 Let $\mathfrak{g}$ be a finite-dimensional complex simple Lie algebra with highest root $\theta$. Given two non-negative integers $m$, $n$, we prove that the fusion product of $m$ copies of the level one Demazure module $D(1,\theta)$ with $n$ copies of ...
Ravinder, Bhimarthi
core +2 more sources
A construction of some ideals in affine vertex algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 971-980, 2003., 2003 We study ideals generated by singular vectors in vertex operator algebras associated with representations of affine Lie algebras of types A and C. We find new explicit formulas for singular vectors in these vertex operator algebras at integer and half‐integer levels.
Dražen AdamoviĆ
wiley +1 more source