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(See also a recent paper [ 6 ] for the affine analog of the classical Satake correspondence.) The ordinary geomet- ric Satake correspondence says that the category of
We are going to apply this definition of quantization to infinite-dimensional classical systems, in which both the phase space and algebra of observables are infinite-dimensional..
We remark that Killing–Yano tensors are also called Yano tensors or Killing forms, and conformal Killing–Yano tensors are sometimes referred as conformal Yano tensors, conformal
To this end we extend the classical Heaviside algorithm, which is intended for solving initial value problems for ordinary linear differential equations with constant coefficients
This definition must generalize the definition of transitive Lie algebra, and incorpo- rate the fact that we can reconstruct an intransitive linear Lie equation from its restriction
We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.. Key words: continual
In Section 6 we introduce the T and Y-systems associated with a class of cluster algebras, which include the restricted T and Y-systems of simply laced type as special cases..
First, the characteristic polynomials of Manin matrices are key objects to obtain the commutative family of the (elliptic) gl n Gaudin model by the degeneration. Then the Manin