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The notion of multiplicity of a module first arose as consequence of Hilbert's work on commutative algebra, relating the dimension of rings with the degree of certain polynomials. For noncommutative rings, the notion of multiplicity first appeared in
Externí odkaz:
http://arxiv.org/abs/2407.21166
Autor:
Jauch, Erich C.
Galois orders, introduced in 2010 by V. Futorny and S. Ovsienko, form a class of associative algebras that contain many important examples, such as the enveloping algebra of $\mathfrak{gl}_n$ (as well as its quantum deformation), generalized Weyl alg
Externí odkaz:
http://arxiv.org/abs/2208.13117
Autor:
Jauch, Erich C.
In 2010, V. Futorny and S. Ovsienko gave a realization of $U(\mathfrak{gl}_n)$ as a subalgebra of the ring of invariants of a certain noncommutative ring with respect to the action of $S_1\times S_2\times\cdots\times S_n$, where $S_j$ is the symmetri
Externí odkaz:
http://arxiv.org/abs/1907.13254
Autor:
Jauch, Erich C.
Publikováno v:
In Journal of Algebra 1 March 2021 569:568-594