precede 发表于 2025-3-25 07:23:02
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On Differential Geometry and Homogeneous Spaces II,We retain the notation of the preceding paper.. We will say that . is effective relative to . if . contains no ideal of ..放肆的我 发表于 2025-3-25 19:29:51
A Characterization of the Classical Groups,By one method of classification there are three types of (complex, connected) classical groups, (a) .(.), (b) .(.), and (c) .(.). So designated, each type is given as a specific group of matrices. It is perhaps neater (and for us more pertinent) to describe these groups by means of the special linear representation which each type admits.严厉谴责 发表于 2025-3-25 21:52:16
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group,Let . be a complex simple Lie algebra and let . be the adjoint group of g. It is by now classical that the Poincaré polynomial ..(.) of . factors into the form受辱 发表于 2025-3-26 02:42:33
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Lie Group Representations On Polynomial Rings,Let . be a group of linear transformations on a finite dimensional real or complex vector space .. Assume . is completely reducible as a .-module. Let . be the ring of all complex-valued polynomials on ., regarded as a .-module in the obvious way, and let . ? . be the subring of all .-invariant polynomials on ..可忽略 发表于 2025-3-26 12:09:30
Lie Group Representations on Polynomial Rings,Let . be a group of linear transformations on a finite dimensional real or complex vector space .. Assume . is completely reducible as a .-module. Let . be the ring of all complex-valued polynomials on ., regarded as a .-module in the obvious way, and let . ? . be the sub-ring of all .-invariant polynomials on ..Antarctic 发表于 2025-3-26 15:21:14
Lie Algebra Cohomology and Generalized Schubert Cells,This paper is referred to as Part II. Part I is , The numerical I used as a reference will refer to that paper. A third and final part, . is also planned.Needlework 发表于 2025-3-26 19:16:46
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