Výsledky vyhledávání - "ANÉIS E ÁLGEBRAS ASSOCIATIVOS"

On the correspondence between path algebras and generalized path algebras

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

The concept of generalized path algebras was introduced in (Coelho and Liu, 2000). It was shown in (Ib\'a\~nez Cobos et al., 2008) how to obtain the Gabriel quiver of a given generalized path algebra. In this article, we generalize the concept of gen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04f0e4c3a7e2b68166f4339ae34aa5a1
https://doi.org/10.1080/00927872.2021.1998516

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Homogeneous algebras via homogeneous triples

Autor: Eduardo N. Marcos, Yury Volkov

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

To study s-homogeneous algebras, we introduce the category of quivers with s-homogeneous corelations and the category of s-homogeneous triples. We show that both of these categories are equivalent to the category of s-homogeneous algebras. We prove s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::020792b5c84585cbacd8721fabaa2e58
https://doi.org/10.1016/j.jalgebra.2020.09.012

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Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules

Autor: Luis Enrique Ramirez, Vyacheslav Futorny, Pablo Zadunaisky, Dimitar Grantcharov

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We introduce the notion of essential support of a simple Gelfand-Tsetlin $\mathfrak{gl}_n$-module as an important tool towards understanding the character formula of such module. This support detects the weights in the module having maximal possible

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::244784458e5ff57fa06984805b58df02
https://doi.org/10.1016/j.jalgebra.2020.02.032

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Free pairs of symmetric elements in normal subgroups of division rings

Autor: D. S. Passman, Jairo Z. Gonçalves

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

Let D be a division ring with central subfield k of characteristic ≠2, let ⁎ be a k-involution of D, and let N ⊲ D • be a normal subgroup of the multiplicative group D • of D. We show that if G is a ⁎-stable nonabelian subgroup of N that

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::598613c49091df769081b21d4d4bc531
https://doi.org/10.1016/j.jalgebra.2020.01.012

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A Poisson algebra on the Hida Test functions and a quantization using the Cuntz algebra

Autor: Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

In this note, we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan–Schwinger map which has been known and used for a long time by physicists. The difference, compared to Jordan

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3322e3c4f1121769ca6384b0f65de84f
https://doi.org/10.1007/s11005-022-01507-4

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Organising the module category

Autor: Coelho, Flávio Ulhoa

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3056::07edb38cd0424dc2d311d3bffbb1b154

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Noncommutative Noether’s problem vs classic Noether’s problem

Autor: João Schwarz, Vyacheslav Futorny

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We prove that if two complex affine irreducible varieties are birational (that is their coordinate rings have isomorphic fields of fractions) then their rings of differential operators are birationally equivalent. It allows to address the Noncommutat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da1b66339d4958da20879e899a7190c1
https://doi.org/10.1007/s00209-019-02397-4

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Free Group Algebras in Division Rings with Valuation II

Autor: Javier Sánchez

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We apply the filtered and graded methods developed in earlier works to find (noncommutative) free group algebras in division rings. If $L$ is a Lie algebra, we denote by $U(L)$ its universal enveloping algebra. P. M. Cohn constructed a division ring

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f3d7758d2474d792ed8dfd8c7df686f
https://doi.org/10.4153/s0008414x19000348

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Lie n-multiplicative mappings on triangular n-matrix rings

Autor: Henrique Guzzo, Bruno Leonardo Macedo Ferreira

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We extend to triangular n-matrix rings and Lie n-multiplicative maps a result about Lie multiplicative maps on triangular algebras due to Xiaofei Qi and Jinchuan Hou.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eef3a6304447f3bd24d7d5badcfa3019
https://doi.org/10.33044/revuma.v60n1a02

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