Results 191 to 200 of about 12,632 (221)
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2014
This chapter discusses how k-Schur and dual k-Schur functions can be defined for all types. This is done via some combinatorial problems that come from the geometry of a very large family of generalized flag varieties. They apply to the expansion of products of Schur functions, k-Schur functions and their dual basis, and Schubert polynomials.
Thomas Lam +5 more
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This chapter discusses how k-Schur and dual k-Schur functions can be defined for all types. This is done via some combinatorial problems that come from the geometry of a very large family of generalized flag varieties. They apply to the expansion of products of Schur functions, k-Schur functions and their dual basis, and Schubert polynomials.
Thomas Lam +5 more
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1979
An enumerative problem asks the following type of question; how many figures (lines, planes, conies, cubics, etc.) meet transversely (or are tangent to) a certain number of other figures in general position? The last century saw the development of a calculus for solving this problem and a large number of examples were worked out by Schubert, after whom
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An enumerative problem asks the following type of question; how many figures (lines, planes, conies, cubics, etc.) meet transversely (or are tangent to) a certain number of other figures in general position? The last century saw the development of a calculus for solving this problem and a large number of examples were worked out by Schubert, after whom
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An arithmetic Schubert calculus
1995Let \({\mathbb{G}}(n,p)\) be the Grassmann variety of \(p\)-dimensional subspaces of an \(n\)-dimensional space over \(\text{Spec } \mathbb{Z}\). It is shown that the Chow-Arakelov ring of \({\mathbb{G}}(n,p)\) is isomorphic to the ring \({\mathcal A}(p,n)\), where \({\mathcal A}(p,n)\) is defined as follows.
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Make Schubert calculus rigorous
SCIENTIA SINICA Mathematica, 2022Duan Haibao, Zhao Xuezhi
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Schubert Calculus and Schur Functions
1991Given two Schubert cycles of a Grassmann manifold,σ a and σ b , we have the product formula $${{\sigma }_{a}}\centerdot {{\sigma }_{b}}=\sum\limits_{c}{\delta \left( a,b,c \right)}{{\sigma }_{c}}.$$ The method for calculating δ(a,b,c) has already been given in a previous work [5] with the aid of Schur functions in the representation theory of ...
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Schubert Calculus for Complete Quadrics
1982We study complete the variety parametrizing the complete quadric r-folds in n-space and obtain its chow ring. Our motivation stems from Kleiman’s survey on Hilbert’s Problem 15 [4] and the introduction to the reprint of Schubert’s Kalkul…[5].
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Establishing a new standard of care for calculus using trials with randomized student allocation
Science, 2023Laird H Kramer +2 more
exaly
A Guide to the Stochastic Network Calculus
IEEE Communications Surveys and Tutorials, 2015Amr Rizk
exaly
Intention to disclose personal information via mobile applications: A privacy calculus perspective
International Journal of Information Management, 2016Tien Wang
exaly