Computation of Hochschild cohomology via Morse matching Алхуссейн Хасан

Краткое описание

Алхуссейн Хасан.
Вычисление когомологий Хохшильда при помощи соответствия Морса : Computation of Hochschild cohomology via Morse matching : Computation of Hochschild cohomology via Morse matching : диссертация ... кандидата физико-математических наук : 01.01.06 / Алхуссейн Хасан; [Место защиты: ФГАОУ ВО «Новосибирский национальный исследовательский государственный университет»]. - Новосибирск, 2022. - 112 с. : ил.
Оглавление диссертациикандидат наук Алхуссейн Хасан
Contents.
Introduction
1. Main definitions and Statements
§1.1 Composition-Diamond Lemma for Associate Algebras
§1.2 Morse matching
2. The Hochschild cohomology of the group G2
§2.1 The Anick complex for G2
§2.2 Hochschild cohomologies of G2
3. Anick complex, Hochschild cohomology, Hilbert and Poincare series of the Manturov (3,4)-group
§3.1 The Anick complex for G4
§3.2 The Hochschild cohomology groups of G3
§3.3 Hilbert and Poincare series of the Manturov (3,4)-group
4. The Hochschild cohomology of the Chinese monoid algebra
§4.1 The Anick complex for the Chinese algebra
§4.2 Application of Anick resolution on k[Cn]
5. Grobner-Shirshov basis and Hochschild cohomology of the Manturov group rf
§5.1 Grobner-Shirshov basis for
§5.2 The Anick complex for
§5.3 Application of Anick resolution on
6. On the Hochschild cohomology of universal enveloping associative conformal algebras
§6.1 Preliminaries
§6.2 Cohomology of universal associative conformai envelopes of the
Virasoro conformai algebra U(3)
§6.3 Cohomologies of the Weyl conformal conformal algebra U(2) . . . 100 §6.4 Morse matching method for conformal cohomologies
References
Publication on the topic of the dissertation