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11 papers · 1 filter
Deformation of central charges, vertex operator algebras whose Griess algebras are Jordan algebras
Takahiro Ashihara, Masahiko Miyamoto
If a vertex operator algebra satisfies , then has a commutative (nonassociative) algebra structure called Griess algebra. One…
Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal
Satoshi Naito, Daisuke Sagaki
We give a necessary and sufficient condition for an MV polytope in a highest weight crystal to lie in an arbitrary fixed Demazure crystal (resp., opposite Demazure crystal), in…
A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C
Satoshi Naito, Daisuke Sagaki
We give an explicit description of the (lowering) Kashiwara operators on Mirković-Vilonen polytopes in types and , which provides a simple method for generating Mirković-Vil…
Abelian and non-abelian second cohomologies of quantized enveloping algebras
Akira Masuoka
For a class of pointed Hopf algebras including the quantized enveloping algebras, we discuss cleft extensions, cocycle deformations and the second cohomology. We present such a non…
Sets of rigged paths with Virasoro characters
B. Feigin, M. Jimbo, T. Miwa +2
Let \{M_{r,s}\}_{0< r < p, 0< s < p'} be the irreducible Virasoro modules in the -minimal series. In our previous paper, we have constructed a monomial basis of \oplus_{r=1…
2A-orbifold construction and the baby-monster vertex operator superalgebra
Hiroshi Yamauchi
In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B is the baby-monster sp…