Download Representation of Lie groups and special functions. Recent by N.Ja. Vilenkin, A.U. Klimyk PDF

By N.Ja. Vilenkin, A.U. Klimyk

The current e-book is a continuation of the three-volume paintings illustration of Lie teams and distinct features through an analogous authors. right here, they take care of the exposition of the most new advancements within the modern concept of multivariate distinctive services, bringing jointly fabric that has no longer been provided in monograph shape sooner than. the idea of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric services linked to symmetric polynomials are handled. Multivariate hypergeometric capabilities, multivariate Jacobi polynomials and h-harmonic polynomials attached with root structures and Coxeter teams are brought. additionally, the idea of Gel'fand hypergeometric capabilities and the idea of multivariate hypergeometric sequence linked to Clebsch--Gordan coefficients of the unitary crew U(n) is given. the amount concludes with an intensive bibliography. For study mathematicians and physicists, postgraduate scholars in arithmetic and mathematical and theoretical physics.

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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. , 77, N 6 (1971), 829—862. Поступило 8 августа 2001 г. Адреса авторов: Окончательный вариант 17 ноября 2002 г.

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. Новосибирск, ул. С. Ковалевской, 16, пр. Ак. Коптюга, 4, Институт математики Институт математики СО РАН. и механики УрО РАН.

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.

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