13 citations · 59 across the 37 of their papers we have counts for
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The generalized Weyl Poisson algebras and their Poisson simplicity criterion
V. V. Bavula
A new class of Poisson algebras, the class of {\em generalized Weyl Poisson algebras}, is introduced. It can be seen as Poisson algebra analogue of generalized Weyl algebras or as…
The degree of the algebra of covariants of a binary form
Leonid Bedratyuk, Nadia Ilash
We calculate the degree of the algebra of covariants for binary -form. Also, for the degree we obtain its integral representation and asymptotic behavior.
Derivations and identities for Fibonacci and Lucas polynomials
Leonid Bedratyuk
We introduce the notion of Fibonacci and Lucas derivations of the polynomial algebras and prove that any element of kernel of the derivations defines a polynomial identity for the…
Symmetrical invariants of some modular Lie algebras of Cartan type
Leonid Bedratyuk
Let be one of the finite dimensional Lie algebras of Cartan type over an algebraically closed field of prime characteristic $p>0…