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Representations of Affine and Toroidal Lie Algebras
Representations of Affine Toroidal Lie Algebras
2010/12/1
We discuss the category I of level zero integrable representations of loop algebras and their generalizations. The category is not semisimple and so one is interested in its homological properties.
Some remarks on the planar Kouchnirenko's Theorem
Milnor number delta-invariant Newton non-degenerate
2010/12/13
In this note we consider different notions of non-degeneracy, as introduced by Kouchnirenko, Wall and Beelen-Pellikaan for plane curve sin-gularities. It is known that non-degenerate singularities sat...
Three realizations of quantum affine algebra $U_q(A_2^{(2)})$
Three realizations quantum affine algebra $U_q(A_2^{(2)})$
2010/12/3
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 ...
On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$
Skew Brownian motion advection-diffusion local time
2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.
tion of Non Abelian Group Generated by Affine Homotheties on R^n
Homothety orbit density minimal non abelian action
2010/12/14
In this paper, we study the action of non abelian group G generated by affine homotheties on Rn. We prove that G satisfies one of the following properties: (i) there exist a subgroup G of R∗ co...
Affine stratifications from finite misère quotients
Affine stratifications finite misère quotients
2010/12/3
Given a morphism from an affine semigroup Q to an arbitrary commutative monoid, it is shown that every fiber possesses an affine stratification: a partition into a finite disjoint union of translates ...
Triangle-Free Triangulations, Hyperplane Arrangements and Shifted Tableaux
Triangle-Free Triangulations Hyperplane Arrangements Shifted Tableaux
2010/12/6
Flips of diagonals in colored triangle-free triangulations of a convex polygon are interpreted as moves between two adjacent chambers in a certain graphic hyperplane arrangement. Properties of geodesi...
Darboux transformations for two dimensional elliptic affine Toda equations
dimensional elliptic affine Toda equations Darboux transformation
2010/4/7
The Darboux transformations for the two dimensional elliptic affine Toda equations corresponding to all seven infinite series of affine Kac-Moody algebras, including $A_l^{(1)}$, $A_{2l}^{(2)}$, $A_{2...
Defining relations of almost affine (hyperbolic) superalgebras
Hyperbolic Lie superalgebra
2011/1/17
For all almost affine (hyperbolic) Lie superalgebras, the defining relations are computed in terms of their Chevalley generators.
Jacobi structures on affine bundles
Vector and affine bundles Jacobi manifolds Lie algebroids
2007/12/13
We study affine Jacobi structures (brackets) on an affine bundle $\pi:A\to M$, i.e. Jacobi brackets that close on affine functions. We prove that if the rank of $A$ is non-zero, there is a one-to-one ...
<正> In a recent paper of the same title we studied the plane sectionsof the circumscribed developable of a curve in the projective n-dimen-sional space Sn(n(?)3) confining ourselves to the considerati...
<正> In the present paper we propose to establish certain theoremsconcerning plane sections of the circumscribed developable of a curvein the projective n-dimensional space s_n((?)3).The planes in cons...