Low-Dimensional Complex Characters of the Symplectic and Orthogonal Groups
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چکیده
منابع مشابه
on translation of phatic communion and socio-cultural relationships between the characters of the novels
phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
15 صفحه اولInvariant Fields of Symplectic and Orthogonal Groups
The projective orthogonal and symplectic groups POn(F ) and PSpn(F ) have a natural action on the F vector space V ′ = Mn(F ) ⊕ . . . ⊕ Mn(F ). Here we assume F is an infinite field of characteristic not 2. If we assume there is more than one summand in V , then the invariant fields F (V )n and F (V )n are natural objects. They are, for example, the centers of generic algebras with the appropri...
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Formulas for the expansion of arbitrary invariant group functions in terms of the characters for the Sp(2N), SO(2N + 1), and SO(2N) groups are derived using a combinatorial method. The method is similar to one used by Balantekin to expand group functions over the characters of the U(N) group. All three expansions have been checked for all N by using them to calculate the known expansions of the...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2010
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870902953989