Download Algebraic K-Theory: Ams-Ims-Siam Joint Summer Research by Wayne Raskind, Charles Weibel PDF

By Wayne Raskind, Charles Weibel

This quantity provides the court cases of the Joint summer time examine convention on Algebraic $K$-theory held on the college of Washington in Seattle. fine quality surveys are written via top specialists within the box. integrated is the main updated released account of Voevodsky's evidence of the Milnor conjecture referring to the Milnor $K$-theory of fields to Galois cohomology. This e-book bargains a accomplished resource for state of the art study at the subject

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Read or Download Algebraic K-Theory: Ams-Ims-Siam Joint Summer Research Conference on Algebraic K-Theory, July 13-24, 1997, University of Washington, Seattle PDF

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Additional resources for Algebraic K-Theory: Ams-Ims-Siam Joint Summer Research Conference on Algebraic K-Theory, July 13-24, 1997, University of Washington, Seattle

Example text

Ap ] ∈ F , where aj is the jth column of A, and let b =  .  ∈ F p×1 . bp The matrix–vector product of A and b is Ab = b1 a1 + · · · + bp ap . Notice Ab is m × 1. If A ∈ F m×p and C = [c1 . . cn ] ∈ F p×n , define the matrix product of A and C as AC = [Ac1 . . Acn ]. Notice AC is m × n. Square matrices A and B commute if AB = BA. When i = j, aii is a diagonal entry of A and the set of all its diagonal entries is the main diagonal of A. When i = j, aij is an off-diagonal entry. n The trace of A is the sum of all the diagonal entries of A, tr A = i=1 aii .

1-1 2-1 3-1 4-1 5-1 6-1 7-1 8-1 9-1 10-1 11-1 Topics in Linear Algebra Schur Complements Roger A. Horn and Fuzhen Zhang . . . . . . . . . . Quadratic, Bilinear, and Sesquilinear Forms Raphael Loewy . . . . . Multilinear Algebra J. A. Dias da Silva and Armando Machado . . . . . Tensors and Hypermatrices Lek-Heng Lim . . . . . . . . . . . . . . . . Matrix Equalities and Inequalities Michael Tsatsomeros . . . . . . . . Functions of Matrices Nicholas J.

Other Canonical Forms Roger A. Horn and Vladimir V. Sergeichuk . . . Unitary Similarity, Normal Matrices, and Spectral Theory Helene Shapiro. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Hermitian and Positive Definite Matrices Wayne Barrett . . . . . . . Nonnegative and Stochastic Matrices Uriel G. Rothblum . . . . . . . Partitioned Matrices Robert Reams . . . . . . . . . . . . . . . . . . . . 1-1 2-1 3-1 4-1 5-1 6-1 7-1 8-1 9-1 10-1 11-1 Topics in Linear Algebra Schur Complements Roger A.

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