Young-Tak Oh
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Young-Tak Oh has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Jae-Hoon Kwon
Department of Mathematics, College of Natural Sciences, Seoul National University, Seoul 151-747,¶South Korea. KR
1 shared publication - Seok-Jin Kang
Department of Mathematics, NS30, Seoul National University, Seoul 151-747, South Korea.
1 shared publication
Latest Publications
- 1 September 2001
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 163, 107-144
Peterson-type dimension formulas for graded Lie superalgebras
Let be a free abelian group of finite rank, let Γ be a sub-semigroup of satisfying certain finiteness conditions, and let be a (Γ × Z2)-graded Lie superalgebra. In this paper, by applying formal differential operators and the Laplacian to the denominator identity of , we derive a new recursive formula for the dimensions of homogeneous subspaces of . When applied to generalized Kac-Moody superalgebras, our formula yields a generalization of Peterson’s root multiplicity formula. We also obtain a Freudenthal-type weight multiplicity formula for highest weight modules over generalized Kac-Moody superalgebras.
- 1 September 2001
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 163, 107-144
Peterson-type dimension formulas for graded Lie superalgebras
Let be a free abelian group of finite rank, let Γ be a sub-semigroup of satisfying certain finiteness conditions, and let be a (Γ × Z2)-graded Lie superalgebra. In this paper, by applying formal differential operators and the Laplacian to the denominator identity of , we derive a new recursive formula for the dimensions of homogeneous subspaces of . When applied to generalized Kac-Moody superalgebras, our formula yields a generalization of Peterson’s root multiplicity formula. We also obtain a Freudenthal-type weight multiplicity formula for highest weight modules over generalized Kac-Moody superalgebras.