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A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Abstract: We discuss the formal aspects of the factorial polynomials and of the associated series. We develop the theory using the formalism of quasi-monomials and prove the usefulness of the method f...
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
Intertwining operators Sklyanin algebra elliptic hypergeometric series
2011/1/18
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ℓ and −ℓ − 1 are constructed using the technique of intertwin-ing vectors for...
Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
Dynamical reflection algebra Boundary SOS model
2011/1/17
We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel’d twist, we compute the partition function of this model with...
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
operators for Sklyanin algebra elliptic hypergeometric series
2010/12/28
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ℓ and −ℓ − 1 are constructed using the technique of intertwin-ing vectors for...
Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
Dynamical reflection algebra Boundary SOS model Factorizing Drinfel’d twist
2010/12/28
We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel’d twist, we compute the partition function of this model with...
Proper asymptotic unitary equivalence in $\KK$-theory and projection lifting from the corona algebra
KK-theory proper asymtotic unitary equivalence ab-sorbing representation
2010/12/6
In this paper we generalize the notion of essential codimension of Brown, Douglas, and Fillmore using KK-theory and prove a result which asserts that there is a unitary of the
form ‘identity + compac...