References
SHOWING 1-10 OF 34 REFERENCES
On integral forms for vertex algebras associated with affine Lie algebras and lattices
- Mathematics
- 2015
Modular affine vertex algebras and baby Wakimoto modules
- Mathematics
- 2015
We develop some basic properties such as $p$-centers of affine vertex algebras and free field vertex algebras in prime characteristic. We show that the Wakimoto-Feigin-Frenkel homomorphism preserves…
Heisenberg VOAs over Fields of Prime Characteristic and Their Representations
- Mathematics
- 2015
In this paper, we study Heisenberg vertex algebras over fields of prime characteristic. The new feature is that the Heisenberg vertex algebras are no longer simple unlike in the case of…
Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
- Mathematics
- 2013
The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F whose characteristic is not equal to 2 are studied. The…
Vertex algebras, Kac-Moody algebras, and the Monster.
- MathematicsProceedings of the National Academy of Sciences of the United States of America
- 1986
An integral form is constructed for the universal enveloping algebra of any Kac-Moody algebras that can be used to define Kac's groups over finite fields, some new irreducible integrable representations, and a sort of affinization of anyKac-moody algebra.
Canonical Basis and Macdonald Polynomials
- Mathematics
- 1998
Abstract In the basic representation of[formula]realized via the algebra of symmetric functions, we compare the canonical basis with the basis of Macdonald polynomials where t = q 2 . We show that…