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The N = 4, d = 4 Yang–Mills conformal supersymmetry exhibits a very simple sub-sector adescribed by four differential operators. The invariance under this subalgebra is big enough to determine the N =...
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
In this article, we give an explicit formula for the universal weight function of the quantum twisted affine algebra Uq(A(2)2 ). The calculations use the technique of projecting products of Drinfeld...
We establish explicit isomorphisms between three realizations of the quantum twisted affine algebra Uq(A(2)2 ): the Drinfeld (“current”) realization, the Chevalley realization, and the so-called RLL ...
We identify all uniform limits of polynomials on the closed unit disc D with respect to the chordal metric  on C ∪ {∞}. One such limit is f ≡ ∞. The other limits are holomorphic functions f : D → C s...
In this article, we study the moonshine vertex operator algebra starting with the tensor product of three copies of the vertex operator algebra V + √2E8 , and describe it by the quadratic space over...
In this paper, for an algebra, weakly ordered multiplicative basis with weakly admissibleorder is introduced as an invariant under almost Morita equivalence and it is shown that an algebra with weakly...
We first consider the rational Cherednik algebra corresponding to the action of a finite group on a complex variety, as defined by Etingof. We define a category of representations of this algebra whic...
On Conjugation in the Mod-p Steenrod algebra     Steenrod algebra  anti-automorphism  Milnor basis       font style='font-size:12px;'> 2010/3/1
In this paper we prove a formula involving the canonical anti-automorphism c of the mod-p Steenrod algebra.
The Verlinde algebra is twisted equivariant K-theory     Verlinde algebra  equivariant K-theory       font style='font-size:12px;'> 2010/3/1
The Verlinde algebra, which mathematically appears in the theory of loop groups and is related to moduli spaces of bundles over curves, turns out to be describable in terms of K-theory. This is a join...
We consider the 2-dimensional Toda lattice tau functions $\tau_n(t,s;\eta,\theta)$ deforming the probabilities $\tau_n(\eta,\theta)$ that a randomly chosen matrix from the unitary group U(n), for the ...
A new solvable algebra of partial differential operators with variable coefficients on H \times R^*_+.
In this paper we develop some generalizations of classic al- gebraic concepts systematically used in the applications to Physics and Economics. This generalizations are located in the context of S-L...
The relation between Connes-Kreimer Hopf algebra approach to renormalization and deformation quantization is investigated. Both approaches rely on factorization, the correspondence being established...
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra struc-tures. In the last section, we present enhanced versions of Theo...

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