Yuly Billig
Yuly Billig
Professor of Mathematics, Carleton University
Verified email at math.carleton.ca - Homepage
TitleCited byYear
Irreducible representations for toroidal Lie algebras
S Berman, Y Billig
Journal of Algebra 221 (1), 188-231, 1999
1241999
Representations of the twisted Heisenberg–Virasoro algebra at level zero
Y Billig
Canadian Mathematical Bulletin 46 (4), 529-537, 2003
792003
Principal vertex operator representations for toroidal Lie algebras
Y Billig
Journal of Mathematical Physics 39 (7), 3844-3864, 1998
621998
Weight modules over exp-polynomial Lie algebras
Y Billig, K Zhao
Journal of Pure and Applied Algebra 191 (1-2), 23-42, 2004
532004
Vertex operator algebras and the representation theory of toroidal algebras
S Berman, Y Billig, J Szmigielski
arXiv preprint math/0101094, 2001
422001
Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity
Y Billig, D Riley, V Tasić
Journal of Algebra 190 (1), 241-252, 1997
311997
A category of modules for the full toroidal Lie algebra
Y Billig
International Mathematics Research Notices 2006 (9), 68395-68395, 2006
302006
An Extension of the Korteweg–de Vries Hierarchy Arising from a Representation of a Toroidal Lie Algebra
Y Billig
Journal of Algebra 217 (1), 40-64, 1999
301999
An Extension of the Korteweg–de Vries Hierarchy Arising from a Representation of a Toroidal Lie Algebra
Y Billig
Journal of Algebra 217 (1), 40-64, 1999
301999
Jet modules
Y Billig
Canadian Journal of Mathematics 59 (4), 712-729, 2007
262007
Classification of irreducible representations of Lie algebra of vector fields on a torus
Y Billig, V Futorny
Journal für die reine und angewandte Mathematik (Crelles Journal) 2016 (720 …, 2016
232016
Classification of simple -modules with finite-dimensional weight spaces
Y Billig, V Futorny
arXiv preprint arXiv:1304.5458, 2013
222013
Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus
Y Billig, A Molev, R Zhang
Advances in Mathematics 218 (6), 1972-2004, 2008
212008
Representations of toroidal extended affine Lie algebras
Y Billig
Journal of Algebra 308 (1), 252-269, 2007
212007
Energy-momentum tensor for the toroidal Lie algebras
Y Billig
arXiv preprint math/0201313, 2002
182002
Decompositions of Bruhat type for the Kac-Moody groups
Y Billig, M Dyer
Nova J. Algebra Geom 3 (1), 11-39, 1994
161994
On Cartan subalgebras
Y Billig, A Pianzola
Journal of Algebra 171 (2), 397-412, 1995
141995
Time-optimal decompositions in SU(2)
Y Billig
Quantum information processing 12 (2), 955-971, 2013
132013
Irreducible modules for extended affine Lie algebras
Y Billig, M Lau
Journal of Algebra 327 (1), 208-235, 2011
132011
Vertex operator representations of quantum tori at roots of unity
Y Billig, K Zhao
Communications in Contemporary Mathematics 6 (01), 195-220, 2004
132004
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Articles 1–20