Grothendieck constant is norm of Strassen matrix multiplication tensor
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DOI: 10.1007/s00211-019-01070-6
Abstract: We show that two important quantities from two disparate areas of complexity theory --- Strassen's exponent of matrix multiplication $\omega$ and Grothendieck's constant $K_G$ --- are intimately related. They are different measures of size for… read more here.
Keywords: grothendieck constant; tensor; grothendieck; matrix multiplication ... See more keywords
Flagged Grothendieck polynomials
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DOI: 10.1007/s10801-018-0841-3
Abstract: We show that the flagged Grothendieck polynomials defined as generating functions of flagged set-valued tableaux of Knutson et al. (J Reine Angew Math 630:1–31, 2009) can be expressed by a Jacobi–Trudi-type determinant formula generalizing the… read more here.
Keywords: grothendieck; flagged grothendieck; grothendieck polynomials;
Russian Trace in the Family History and Work of Alexander Grothendieck
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DOI: 10.1007/s10958-021-05196-7
Abstract: In this note, based on archival documents, we supplement and clarify information about the father of Alexander Grothendieck, most of which is in the biography of Grothendieck, written by W. Scharlau. We managed to establish… read more here.
Keywords: alexander; alexander grothendieck; grothendieck; russian trace ... See more keywords
Grothendieck spaces: the landscape and perspectives
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DOI: 10.1007/s11537-021-2116-3
Abstract: In 1973, Diestel published his seminal paper Grothendieck spaces and vector measures that drew a connection between Grothendieck spaces (Banach spaces for which weakand weak*-sequential convergences in the dual space coincide) and vector measures. This… read more here.
Keywords: mathematics; spaces landscape; grothendieck; grothendieck spaces ... See more keywords