10 citations · 26 across the 8 of their papers we have counts for
8 papers
Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions
Toshiyuki Abe, Yusuke Arike
We determine fusion rules (dimensions of the space of intertwining operators) among simple modules for the vertex operator algebra obtained as an even part of the symplectic fermio…
Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions
Yusuke Arike, Kiyokazu Nagatomo
We give a method to construct pseudo-trace functions for vertex operator algebras satisfying Zhu's finiteness condition not through higher Zhu's algebras and apply our method to th…
Logarithmic intertwining operators and the space of conformal blocks over the projective line
Yusuke Arike
We show that the space of logarithmic intertwining operators among logarithmic modules for a vertex operator algebra is isomorphic to the space of 3-point conformal blocks over the…
One-point functions over elliptic curves
Yusuke Arike, Kiyokazu Nagatomo
This paper has been withdrawn.
Some remarks on symmetric linear functions and pseudotrace maps
Yusuke Arike
Let A be a finite-dimensional associative algebra and a symmetric linear function on . In this note, we will show that the pseudotrace maps are obtained as special cases of…
A matrix realization of the quantum group g_{p, q}
Yusuke Arike
In this paper we will find a matrix realizations of the quantum group g_{p, q}. For this purpose, we construct all primitive idempotents and a basis of g_{p, q}. We determine the a…