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We construct a family of orthogonal characters of an algebra group which decompose the supercharacters defined by Diaconis and Isaacs [6]. Like supercharacters, these characters are given by nonnegat...
Under the assumption that c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(!)/fin has under CH a...
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary discrete series of the Virasoro algebra with 0 < c < 1.
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
In this paper, we mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection.
From SO/Sp instantons to W-algebra blocks      SO/Sp instantons  W-algebra blocks        font style='font-size:12px;'> 2011/3/4
We study instanton partition functions for N = 2 superconformal Sp(1) and SO(4) gauge theories. We find that they agree with the corresponding U(2) instanton partitions functions only after a non-triv...
Motivation: Many biological systems are modeled qualitatively with discrete models,such as probabilistic Boolean networks, logical models, bounded Petri nets, and agent-based models. Simulation is a c...
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
Interval Linear Algebra      Interval Linear Algebra        font style='font-size:12px;'> 2011/1/21
Interval Linear Algebra,
We show that any faithful quasi-free actions of a finite group on the Cuntz algebra O1 are mutually conjugate, and that they are asymptotically rep-resentable.
Another extension of the disc algebra      Disc Algebra  Mergelyan’s Theorem  Polynomial Approximation       font style='font-size:12px;'> 2011/2/22
We identify the complex plane C with the open unit disc D = {z ∈ C : |z| < 1}by the homeomorphism C ∋ z 7→ z 1+|z| ∈ D.
About a year ago, a team of physicists reported in Science that they had observed \evidence for E8 symmetry" in the laboratory. This expository article is aimed at mathematicians and explains the chai...
This is the first part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra.

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