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  1. Vor 4 Tagen · Sei \(A\in \mathbb {C}^{n,n}\) mit n paarweise verschiedenen Eigenwerten und seien \(R_1,R_2\in \mathbb {C}^{n,n}\) zwei Schur-Formen von A. Sind die Diagonalen von \(R_1\) und \(R_2\) gleich, dann gilt \(R_1={QR_2Q^H}\) für eine unitäre Diagonalmatrix Q .

  2. 7. Mai 2024 · UC Riverside. Symmetric groups, Schur algebras and Hilbert schemes. Abstract: In his 1901 thesis, Issai Schur discovered a connection between the representation theory of the symmetric group and general linear group. One way to understand this connection is through a finite dimensional algebra called the Schur algebra.

  3. Vor einem Tag · As of the 20th century, groups gained wide recognition by the pioneering work of Ferdinand Georg Frobenius and William Burnside (who worked on representation theory of finite groups), Richard Brauer's modular representation theory and Issai Schur's papers.

  4. 14. Mai 2024 · Issai Schur ( 1917) independently rediscovered and proved the identities. Definition. The Rogers–Ramanujan identities are. (sequence A003114 in the OEIS) and. (sequence A003106 in the OEIS ). Here, denotes the q-Pochhammer symbol . Combinatorial interpretation. Consider the following:

  5. Vor 4 Tagen · The Journal of the London Mathematical Society publishes leading research across a broad range of mathematics topics that present significant advances in mathematical knowledge.

  6. 19. Mai 2024 · The command LinearSolve[A, b] will provide the vector x of solutions to the linear system Ax = b of equations with coefficient matrix A and the vector of constants b. The system of algebraic equations Ax = b may have a unique solution x, may have infinite many solutions, or may have no solution at all. Example 1: 2×2 system of linear equations ...

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