{"product_id":"new-constructions-in-classical-invariant-theory-von-peter-frenkel","title":"New Constructions in Classical Invariant Theory","description":"\u003cp\u003eThe three topics discussed in the three chapters of this thesis   are only loosely  related.     Strictly speaking, only Chapter 1 is about  invariant   theory. Namely, it is shown that   the invariant theory of the orthogonal group acting on   the direct sum of several copies of the standard vector   representation differs  drastically  over fields of characteristic   2 from the well-known theory in all other characteristics. As a   result, we encounter  non-classical behaviour also over the ring of   integers.      In Chapter 2, we work over the field of complex numbers.   We obtain new formulae for the irreducible characters of the   classical matrix groups, more specifically, we express them as   fractions of polynomials in the entries of matrix powers.   Our formulae can be viewed as unexpected constructions of   conjugation invariant functions of matrices.  In Chapter 3, we work over the real   field, and we prove inequalities for positive semi-definite   matrices.  Chapter 3 is the most down-to-earth part of  this thesis,   it ends with an application to the problem of bounding from below   the norm of a product of linear functionals.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843383028\"\u003e\u003ch3\u003eJuggling with Multilinear Polynomials\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843383028","offer_id":39497055240285,"sku":"9783843383028","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/4f7a190f-664a-46ee-8eaa-5cfd50fb10e2.jpg?v=1758948576","url":"https:\/\/shop.autorenwelt.de\/products\/new-constructions-in-classical-invariant-theory-von-peter-frenkel","provider":"Autorenwelt Shop","version":"1.0","type":"link"}