1 edition of **Applications of Lie-admissible algebras in physics** found in the catalog.

Applications of Lie-admissible algebras in physics

- 52 Want to read
- 17 Currently reading

Published
**1978** by Hadronic Press in Nonantum, Mass .

Written in English

- Lie algebras.,
- Mathematical physics.

**Edition Notes**

Includes bibliographies.

Other titles | Lie-admissible algebras. |

Statement | edited by Hyo Chul Myung, Susumu Okubo and Ruggero Maria Santilli. |

Contributions | Myung, Hyo Chul, 1937-, Okubo, S. 1930-, Santilli, Ruggero Maria, 1935- |

The Physical Object | |
---|---|

Pagination | v. : |

ID Numbers | |

Open Library | OL22037105M |

Abstract. According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgAuthor: Liping Sun, Wende Liu. PACS: Hw; x; De; Fe. This paper is dedicated to the memory of Enrico Fermi who: expressed doubts as to whether conventional geometries apply to the structure of particles; supported the introduction of the size of nucleons for basic advances in nuclear physics; and suggested that the anomalous magnetic moment of nuclei may be due to the deformation of their charge Cited by: 1.

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@article{osti_, title = {Lie-admissible algebras}, author = {Myung, H C}, abstractNote = {We discuss the recent development of Lie-admissible algebras. In the structure theory of flexible Lie-admissible algebras A, the main result is that if A/sup -/ is a classical Lie algebra with a nil Cartan subalgebra then A is a Lie algebra isomorphic to A/sup -/.

Jeong, S.-J. Kang, H. Lee, Lie-admissible algebras and Kac-Moody algebras, J. Algebra (), – zbMATH CrossRef MathSciNet Google Scholar [] A. Joseph, Derivations of Lie brackets and canonical quantisation, Comm.

Math. Phys. 17 (), – p zbMATH CrossRef MathSciNet Google Scholar. Citation: Davvaza B, Santilli RM, V ougiouklis T () Algebra, Hyperalgebra and Lie-Santilli Theory.

J Generalized Lie Theory Appl 9: doi: / study of The Lie-isotopic and Lie-admissible generalizations of Lie's theory and its many applications" A U. KLIMYK (Ukraine Acad. of Sciences, Kiev) "These volumes represent the most important contribution to physics in the last fifty years" T.

GILL (Howard Univ., Washington. D.C.). These book on topic Lie Algebra highly popular among the readers worldwide. Finite and Infinite Dimensional Lie Algebras and Applications in Physics Pt.

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Representations of Affine Lie Algebras By V Futorny. In this paper we study Albert's Lie-admissible algebras in Santilli's fundamental realization B(P,Q) with product M*N = MPN - NQM where P + Q is not equal to 0.

We prove that, if B(P,Q) is a not flexible division algebra with a unit element, and it is such that its nucleus and center coincide, then the dimension of the center is higher than one.

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Radicals of ﬂexible Lie admissible algebras were introduced, and some of their properties were established and discussed in [6]. In this paper we study Lie-admissible structures on Witt type algebras.

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A collection A of algebras with anticommuting basal elements is investigated. It is shown that the collection A includes the quaternions, the octonions, the ‘‘algebra of color,’’ as well as other a Cited by: 7.

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In mathematics, a composition algebra A over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies. The contributors are all outstanding in their fields and the volume will be of great interest to all research mathematicians, research workers in the history of science, and graduate students in Mathematics and Mathematical Physics.

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algebras theory theorem rings map math category structure coring modules comodule groups witt vectors galois extension product symmetric functor frobenius section You can write a book review and share your experiences.

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Biography. Ruggero Maria Santilli was born in Capracotta, in the Italian region of li studied physics at the University of Naples and went on to attend the Graduate School in Physics of the University of Turin, graduating in In he was invited by the University of Miami to conduct research under NASA financial support.

Starting inSantilli was an Associate Professor. The mathematical implications of the Lie-Santilli genotheory are significant because of the admission as particular cases of all possible algebras, as well as because, when computed on the genobimodule Lie-admissible algebras verify all Lie axioms, while deviations from Lie algebras emerge only in their projection on the bimodule.

Born September 8, ( 09 08) (age 76) Capracotta, Molise, Italy. (69) H. Myung and S. Okubo, Editors, {\it Applications of Lie-Admissible Algebras in Physics,} Volume I, Hadronic Press (). (70) H. Myung and S. Okubo, Editors, {\it Applications of Lie-Admissible Algebras in Physics,} Vol.

II, Hadronic Press (). Keywords: Lie-admissible mathematics, Thermodynamics, Time reversal symmetry, Nonequilibrium thermodynamics. This article has been presented in part at the Seminar Course on Hadronic Mechanics within ICNAAM during Septemberat KOS, Greece.

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