Brauer Trees for the Schur Cover of the Symmetric Group
نویسنده
چکیده
We determine the Brauer trees of the faithful blocks of weight 1 of the Schur covers of the symmetric group and the alternating group in odd
منابع مشابه
Characteristic maps for the Brauer algebra
The classical characteristic map associates symmetric functions to characters of the symmetric groups. There are two natural analogues of this map involving the Brauer algebra. The first of them relies on the action of the orthogonal or symplectic group on a space of tensors, while the second is provided by the action of this group on the symmetric algebra of the corresponding Lie algebra. We c...
متن کاملMathematisches Forschungsinstitut Oberwolfach Mini-workshop: Schur Algebras and Quantum Groups Contents 1 the Workshop. 1 2 the Subject Area. 2 Introduction to Q-schur Algebras
1 The workshop. This mini{workshop aimed at discussing existent and potential connections between certain algebraic and geometric objects, in particular Schur algebras and quantum groups. The main focus was on the known epimorphisms from type A quantized enveloping algebras to Schur algebras, their restriction to Hall algebras and their potential analogues for other types. A description of thes...
متن کاملRepresentations of the Rook-Brauer Algebra
We study the representation theory of the rook-Brauer algebra RBk(x), which has a of Brauer diagrams that allow for the possibility of missing edges. The Brauer, Temperley-Lieb, Motzkin, rook monoid, and symmetric group algebras are subalgebras of RBk(x). We prove that RBk(n+1) is the centralizer of the orthogonal group On(C) on tensor space and that RBk(n+1) and On(C) are in Schur-Weyl duality...
متن کاملBrauer Algebras, Symplectic Schur Algebras and Schur-weyl Duality
In this paper we prove the Schur-Weyl duality between the symplectic group and the Brauer algebra over an arbitrary infinite field K. We show that the natural homomorphism from the Brauer algebra Bn(−2m) to the endomorphism algebra of the tensor space (K2m)⊗n as a module over the symplectic similitude group GSp2m(K) (or equivalently, as a module over the symplectic group Sp2m(K)) is always surj...
متن کاملSchur-Weyl duality as an instrument of Gauge-String duality
A class of mathematical dualities have played a central role in mapping states in gauge theory to states in the spacetime string theory dual. This includes the classical Schur-Weyl duality between symmetric groups and Unitary groups, as well as generalisations involving Brauer and Hecke algebras. The physical string dualities involved include examples from the AdS/CFT correspondence as well as ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003