By Abdenacer Makhlouf, Eugen Paal, Sergei D. Silvestrov, Alexander Stolin
This e-book collects the court cases of the Algebra, Geometry and Mathematical Physics convention, held on the collage of Haute Alsace, France, October 2011. geared up within the 4 parts of algebra, geometry, dynamical symmetries and conservation legislation and mathematical physics and purposes, the e-book covers deformation concept and quantization; Hom-algebras and n-ary algebraic constructions; Hopf algebra, integrable platforms and similar math buildings; jet conception and Weil bundles; Lie idea and functions; non-commutative and Lie algebra and more.
The papers discover the interaction among examine in modern arithmetic and physics all for generalizations of the most constructions of Lie conception geared toward quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative constructions, activities of teams and semi-groups, non-commutative dynamics, non-commutative geometry and functions in physics and beyond.
The booklet advantages a large viewers of researchers and complex students.
Read Online or Download Algebra, Geometry and Mathematical Physics: AGMP, Mulhouse, France, October 2011 PDF
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Extra resources for Algebra, Geometry and Mathematical Physics: AGMP, Mulhouse, France, October 2011
Koszulity for nonquadratic algebras II. math. QA/0301172 (2002) 5. : Dimension de Hochschild des algèbres graduées. R. Acad. Sci. Paris Ser. I 341, 597–600 (2005) 6. Berger, R. (2008) Algèbres Artin-Schelter régulières (nouvelle version du chapitre 7 d’un cours de Master 2 à Lyon 1). html 7. : Inhomogeneous Yang-Mills algebras. Lett. Math. Phys. 76, 65–75 (2006) 8. : Homogeneous algebras. J. Algebra 261, 172–185 (2003) 9. : Higher symplectic reflection algebras and non-homogeneous N -Koszul property.
Commutants and maximal commutative subalgebras in generalized crossed product algebras arising from non-invertible dynamics and actions are used in the important ways in the general operator and spectral theory approach to wavelets analysis and investigation of wavelets on fractals [12–16]. The description of commuting elements and of corresponding commuting operators in the representing operator algebra, or in other words the problem of explicit description of commutative subalgebras is important in description and classifications of operator representations and applications of noncommutative algebras [17–27].
Algebras Represent. Theory 9, 67–97 (2006) 11. : Superpotentials and higher order derivations. J. Pure Appl. Algebra 214, 1501–1522 (2010) 12. : Homological properties of associative algebras: the method of helices. Russian Acad. Sci. Izv. Math. 42, 219–260 (1994) 13. : Homologie et cohomologie d’une algèbre graduée. Séminaire Henri Cartan 11(2), 1–20 (1958) 14. : Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples. Commun. Math. Phys. 230, 539–579 (2002) 15.
Algebra, Geometry and Mathematical Physics: AGMP, Mulhouse, France, October 2011 by Abdenacer Makhlouf, Eugen Paal, Sergei D. Silvestrov, Alexander Stolin