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Non-associative algebras and related...

Non-Associative Algebras and Related Topics Conference (2022 :)

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Non-associative algebras and related topics = NAART II, Coimbra, Portugal, July 18-22, 2022 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Non-associative algebras and related topics/ edited by Helena Albuquerque ... [et al.].
其他題名:	NAART II, Coimbra, Portugal, July 18-22, 2022 /
其他題名:	NAART II
其他作者:	Elduque, Alberto.
團體作者:	Non-Associative Algebras and Related Topics Conference
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xiv, 304 p. :ill., digital ;24 cm.
內容註:	Part 1: Lie Algebras, Superalgebras and Groups -- 1.Local derivations of classical simple Lie algebras (S. Ayupov, K. Kudaybergenov) -- 2. Examples and patterns on quadratic Lie algebras (P. Benito and J. Roldán-López) -- 3. Reductive homogeneous spaces of the compact Lie group G2 (C. Draper and F. J. Palomo) -- 4. On certain algebraic structures associated with Lie (super)algebras(N. Kamiya) -- 5. Schreier's type formulae and two scales for growth of Lie algebras and groups (V. Petrogradsky) -- Part 2: Leibniz Algebras -- 6. Universal central extensions of compatible Leibniz algebras (J.M.C Mirás, M. Ladra) -- 7. On some properties of generalized Lie-derivations of Leibniz algebras (J.M.C Mirás, N.P. Rego) -- 8. Biderivations of low-dimensional Leibniz algebras (M. Mancini) -- 9. Poisson structure on the invariants of pairs of matrices (R. Turdibaev) -- Part 3. Associative and Jordan Algebras and Related Structures -- 10. Automorphisms, derivations and gradings of the split quartic Cayley algebra (V. Blasco and A. Daza-García) -- 11. On a Theorem of Brauer-Cartan-Hua type in superalgebras (J. Laliena) -- 12. Growth functions of Jordan algebras (C. Martínez and E. Zelmanov) -- 13. The image of polynomials in one variable on the algebra of 3 × 3 upper triangular matrices (T.C. de Mello and D.Rodrigues) -- Part 4: Other Nonassociative Structures -- 14. Simultaneous orthogonalization of inner products over arbitrary ﬁelds (Y. Cabrera, C. Gil, D. Martín and C. Martín) -- 15. Invariant theory of free bicommutative algebras (V. Drensky) -- 16. An approach to the classiﬁcation of ﬁnite semiﬁelds by quantum computing (J.M.H. Cáceres, I.F. Rúa) -- 17.On ideals and derived and central descending series of n-ary Hom-algebras (A. Kitouni, S. Mboya, E. Ongong'a, S. Silvestrov) -- 18. Okubo algebras with isotropic norm (A. Elduque)
Contained By:	Springer Nature eBook
標題:	Nonassociative algebras - Congresses. -
電子資源:	https://doi.org/10.1007/978-3-031-32707-0
ISBN:	9783031327070

Non-associative algebras and related topics = NAART II, Coimbra, Portugal, July 18-22, 2022 /
Non-associative algebras and related topicsNAART II, Coimbra, Portugal, July 18-22, 2022 /[electronic resource] :NAART IIedited by Helena Albuquerque ... [et al.]. - Cham :Springer International Publishing :2023. - xiv, 304 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 4272194-1017 ;. - Springer proceedings in mathematics & statistics ;v. 427..

Part 1: Lie Algebras, Superalgebras and Groups -- 1.Local derivations of classical simple Lie algebras (S. Ayupov, K. Kudaybergenov) -- 2. Examples and patterns on quadratic Lie algebras (P. Benito and J. Roldán-López) -- 3. Reductive homogeneous spaces of the compact Lie group G2 (C. Draper and F. J. Palomo) -- 4. On certain algebraic structures associated with Lie (super)algebras(N. Kamiya) -- 5. Schreier's type formulae and two scales for growth of Lie algebras and groups (V. Petrogradsky) -- Part 2: Leibniz Algebras -- 6. Universal central extensions of compatible Leibniz algebras (J.M.C Mirás, M. Ladra) -- 7. On some properties of generalized Lie-derivations of Leibniz algebras (J.M.C Mirás, N.P. Rego) -- 8. Biderivations of low-dimensional Leibniz algebras (M. Mancini) -- 9. Poisson structure on the invariants of pairs of matrices (R. Turdibaev) -- Part 3. Associative and Jordan Algebras and Related Structures -- 10. Automorphisms, derivations and gradings of the split quartic Cayley algebra (V. Blasco and A. Daza-García) -- 11. On a Theorem of Brauer-Cartan-Hua type in superalgebras (J. Laliena) -- 12. Growth functions of Jordan algebras (C. Martínez and E. Zelmanov) -- 13. The image of polynomials in one variable on the algebra of 3 × 3 upper triangular matrices (T.C. de Mello and D.Rodrigues) -- Part 4: Other Nonassociative Structures -- 14. Simultaneous orthogonalization of inner products over arbitrary ﬁelds (Y. Cabrera, C. Gil, D. Martín and C. Martín) -- 15. Invariant theory of free bicommutative algebras (V. Drensky) -- 16. An approach to the classiﬁcation of ﬁnite semiﬁelds by quantum computing (J.M.H. Cáceres, I.F. Rúa) -- 17.On ideals and derived and central descending series of n-ary Hom-algebras (A. Kitouni, S. Mboya, E. Ongong'a, S. Silvestrov) -- 18. Okubo algebras with isotropic norm (A. Elduque)

This proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, Portugal, from July 18-22, 2022. The conference was held in honor of mathematician Alberto Elduque, who has made significant contributions to the study of non-associative structures such as Lie, Jordan, and Leibniz algebras. The papers in this volume are organized into four parts: Lie algebras, superalgebras, and groups; Leibniz algebras; associative and Jordan algebras; and other non-associative structures. They cover a variety of topics, including classification problems, special maps (automorphisms, derivations, etc.), constructions that relate different structures, and representation theory. One of the unique features of NAART is that it is open to all topics related to non-associative algebras, including octonion algebras, composite algebras, Banach algebras, connections with geometry, applications in coding theory, combinatorial problems, and more. This diversity allows researchers from a range of fields to find the conference subjects interesting and discover connections with their own areas, even if they are not traditionally considered non-associative algebraists. Since its inception in 2011, NAART has been committed to fostering cross-disciplinary connections in the study of non-associative structures.

ISBN: 9783031327070

Standard No.: 10.1007/978-3-031-32707-0doiSubjects--Topical Terms:

718229
Nonassociative algebras
--Congresses.

LC Class. No.: QA252

Dewey Class. No.: 512.48

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