§ 4.3,4,5 - Representations of the symmetric group, Young diagrams, Young symmetrizers and wiring diagrams. Using these tools to decompose V^{\otimes d} as a GL(V) module. Schur-Weyl Duality. Date: July 09, 2008 7 views • about 10 years ago

Algebraic varieties § 3.1, 3.2. Basic definitions from algebraic geometry: projective space, variety, ideal, Zariski topology. Segre, Veronese, and other examples of varieties. Graphical models and motivating examples in statistics and information t Date: July 07, 2008 7 views • about 10 years ago

Toric varieties, toric ideals, moment map, exponential families. Date: July 10, 2008 7 views • about 10 years ago

finish Ch 4 (Littlewood-Richardson rule and other handy formulas, more decompositions of spaces of tensors) Date: July 11, 2008 3 views • about 10 years ago

Finish Ch. 2: skew-symmetric tensors, equations for rank at most r linear mappings, border rank, decomposing V^{\ot 3}., G-modules, isotypic components. § 4.1,2 Representations, Schur's Lemma, G-modules and decomposing spaces of tensors Date: July 08, 2008 2 views • about 10 years ago

§ 5.4, 5.5 Equations II: inheritance, and prolongation Date: July 14, 2008 1 view • about 10 years ago

Ch 7. An algorithm for explicitly writing down polynomials in a given submodule of the space of polynomials. Further combinatorics of Young tableaux. Working with tensors in factored vs. expanded form. Date: July 15, 2008 1 view • about 10 years ago