An Introduction to Harmonic Analysis on Semisimple Lie by V. S. Varadarajan

By V. S. Varadarajan

Now in paperback, this graduate-level textbook is a wonderful advent to the illustration concept of semi-simple Lie teams. Professor Varadarajan emphasizes the improvement of relevant issues within the context of unique examples. He starts with an account of compact teams and discusses the Harish-Chandra modules of SL(2,R) and SL(2,C). next chapters introduce the Plancherel formulation and Schwartz areas, and exhibit how those bring about the Harish-Chandra conception of Eisenstein integrals. the ultimate sections examine the irreducible characters of semi-simple Lie teams, and contain specific calculations of SL(2,R). The booklet concludes with appendices sketching a few easy subject matters and with a entire consultant to extra analyzing. This outstanding quantity is extremely appropriate for college students in algebra and research, and for mathematicians requiring a readable account of the subject.

Show description

Read or Download An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge Studies in Advanced Mathematics) PDF

Similar symmetry and group books

An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge Studies in Advanced Mathematics)

Now in paperback, this graduate-level textbook is a superb advent to the illustration conception of semi-simple Lie teams. Professor Varadarajan emphasizes the improvement of significant issues within the context of specified examples. He starts with an account of compact teams and discusses the Harish-Chandra modules of SL(2,R) and SL(2,C).

Molecular Symmetry

Symmetry and workforce thought supply us with a rigorous technique for the outline of the geometry of items via describing the styles of their constitution. In chemistry it's a strong idea that underlies many it sounds as if disparate phenomena. Symmetry permits us to effectively describe the kinds of bonding which can ensue among atoms or teams of atoms in molecules.

Extra info for An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge Studies in Advanced Mathematics)

Example text

23. L. E. Dickson, Linear groups with an exposition of the Galois field theory, New York, Dover, 1958. 24. M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. , 76, N 3 (1984), 469—514. 25. P. B. Kleidman, The maximal subgroups of the finite 8-dimensional orthogonal groups P Ω+ 8 (q) and of their automorphism groups, J. Algebra, 66, N 1 (1987), 173—242. 26. D. Gorenstein, K. Harada, Finite simple groups of low rank and the families G2 (q), D42 (q), q odd, Bull. Am. Math.

16, пр. Ак. Коптюга, 4, Институт математики Институт математики СО РАН. и механики УрО РАН.

P. B. Kleidman, The maximal subgroups of the finite 8-dimensional orthogonal groups P Ω+ 8 (q) and of their automorphism groups, J. Algebra, 66, N 1 (1987), 173—242. 26. D. Gorenstein, K. Harada, Finite simple groups of low rank and the families G2 (q), D42 (q), q odd, Bull. Am. Math. , 77, N 6 (1971), 829—862. Поступило 8 августа 2001 г. Адреса авторов: Окончательный вариант 17 ноября 2002 г. КОНДРАТЬЕВ Анатолий Семенович, МАЗУРОВ Виктор Данилович, РОССИЯ, РОССИЯ, 620066, г. Екатеринбург, 630090, г.

Download PDF sample

Rated 4.36 of 5 – based on 27 votes