Titlebook: Collected Papers; Volume I 1955-1966 Bertram Kostant,Anthony Joseph,Shrawan Kumar,Michè Book 2009 The Editor(s) (if applicable) and The Aut

Johnson

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正常

On INV Ariant Skew-Tensors, .. be the space of contravariant skew-tensors over . of degree .. The inner product in . induces a positive-definite inner product in ? .., where (.. ? … ? .., .. ? … ? ..) = (1/.!) · determinant (.., ..).

Vulvodynia

Infraction

theta-waves

A Formula for the Multiplicity of a Weight,inite dimensional vector space ... A well known theorem of E. Cartan asserts that the highest weight, ?, of ?. occurs with multiplicity one. It has been a question of long standing to determine, more generally, the multiplicity of an arbitrary weight of ?.. Weyl’s formula (1.12) for the character of

IDEAS

A Characterization of Invariant Affine Connections,ansitive group of motions. Here we shall give a simple proof of a more general theorem—Theorem 1 (the proof of Theorem 1 became suggestive to us after we noted that the .. of [1] is just the .. of [6] when . is restricted to .., see [6], p. 539). In fact after introducing, below, the notion of one a

IDEAS

Differential Forms on Regular Affine Algebras,en satisfactorily absorbed in the general theory of derived functors. It is our main purpose here to identify the exterior algebra of differential forms as a certain canonical graded algebra based on the Tor functor and to obtain the cohomology of differential forms from the Ext functor of a univers

moribund

鬼魂

Eigenvalues of a Laplacian and Commutative Lie Subalgebras,ued left invariant differential forms may be naturally identified with the exterior algebra ?.. Also, one knows then that ?. is stable under the Laplacian defined with respect to the canonical Riemannian metric on ..

幼儿

Claudia Recksiedler,Laura BernardiAmong the questions which have been raised concerning the structure of a connected semisimple Lie group are those relating to conjugacy of its Cartan subgroups.