Studies in mathematical aspects of super Lie algebras (Record no. 48740)
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| fixed length control field | 02444nam a2200241Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s1981||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | UNM Th-31 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Uma, S. N. |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Studies in mathematical aspects of super Lie algebras |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 1981 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | v; 150p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 1981 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | University of Madras |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | One of the most novel concepts in elementary particle physics is that of supersymmetry which ascribes a possible fundamental symmetry between fermions and bosons obeying different statistics. It was an assumption till then that it is impossible to form multiplets of particles with different spins; With the advent of notion of super symmetry, it is now possible to have super multiplets which accomodate both fermions and bosons. Because of the different spin and statistics of the constituents of the super multiplet, it is obvious that there is a need for a new algebraic structure which relates the states of bosons and fermions. This is precisely provided by Super Lie algebras and Z 2 graded Lie algebras. The frame work of Super Lie Algebras and Gauge principles seems to provide us with the necessary tools for realizing an unification of all the interactions - strong, weak, electromagnetic and Gravitation. The author pays an immense interest in mathematics of the graded algebras particularly, about their structure and their representations. This thesis concentrates on the study of the structure of Super Lie Algebras which was initiated by Corwin et al., Kaplansky, Djokovic, and Hochschild and Scheunert. Weight root theorem is discussed in this thesis, to relate the weights of the representation to the roots of the Lie Algebra. The C-Theorem to relate its coefficients also is discussed, and it is shown that C-Theorem contains an error; A modified C-Theorem is then suggested. Pais and Rittenberg of SSGLA concluded in their Classification that there is only one semisimple graded Lie Algebra, with even part being the Symplectic Lie Algebra. It is shown that inspite of the error in C-Theorem, their classification is not affected. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Elementary Particle Physics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Lie Algebra |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Ranganathan, N. R. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/54 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
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| IMSc Library | UNM Th-31 | 18153 | http://www.imsc.res.in/xmlui/handle/123456789/54 | THESIS & DISSERTATION |