By Hiroyuki Tachikawa and Vlastimil Dlab, eds.
This quantity comprises the lawsuits of the Tsukuba foreign convention on Representations of Algebras and comparable themes (fifth ICRA), held on the college of Tsukuba, August 13--18, 1990. The convention thinking about the speedy improvement of examine on representations of finite-dimensional algebras and staff representations. A subset of the fifty-seven lectures are gathered right here, including a few different papers no longer initially offered on the convention. With contributions by means of a number of the world's best specialists during this region, this e-book offers a worthy assessment of the frontier of study in representations of algebras.
Read Online or Download Representations of Finite Dimensional Algebras: Proceedings of Tsukuba International Conference (ICRA V, August 13-18, 1990) PDF
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Additional resources for Representations of Finite Dimensional Algebras: Proceedings of Tsukuba International Conference (ICRA V, August 13-18, 1990)
Example text
H>. 7)). For odd primes p a result analogous to the Nakayama Conjecture holds for spin characters ([4], [2]); instead of removing Jrhooks you have to remove Jrbars. In this case a Jrblock cannot contain ordinary and spin characters at the same time. The weight of a block of spin characters is defined analogously to the weight of blocks of ordinary characters. In this paper we consider the case p = 2, where the characters of a 2-block B of Sn may be considered as the ordinary characters in a 53 Heights of Spin Characters unique 2-block B of Sn.
RG LU 0 RG L' . u'nu9. 12] pour un rappel de la definition) et ou Ie groupe G est a centre connexe (voir [S]). 2]), soit G est a centre connexe (voir [S]). • Deligne a demontre l'hypothese H3 (appelee formule de Mackey) dans Ie cas ou p et q sont suffisamment grands. 35 (1)]) . Forrnule des traces sur les corps finis 33 L'hypothese H3 implique que les applications Rr,u et *Rr,u, au niveau des fonctions centrales, sont independantes de U (voir par exemple [DM2, prop. 1]); nous les noterons dorenavant simplement et *Rr.
Fm)f- n Mo(n) mo(n) 1fi odd for i = 1, . ,l} {p r n 1 v2([p](l)) = O} = = IMo(n)1 For a partition a of n, we set s(a) = = s(lal), 2-core of a, and we write a E Mo as an abbreviation of a E Mo(lal). For a partition ,X = (ft, ... , fm) E V(n), we set a(2) 4-quotient of ,X (see [1, § 3]), ,X(4) a('x) = [n-2m]. 1 (Macdonald [6]) s lfn = L:2k ;, kI > k2 > . . +k • • i=I In fact, the set Mo(n) can be described explicitly using the 2-core tower (see [9, §6]). Using the notation of the theorem, a partition a belongs to Mo(n) if and only if there is exactly one 2-core (1) in the ki-th layer of the 2-core tower of a, for i = 1, ...
