Viewing Determinants as Nonintersecting Lattice Paths yields Classical Determinantal Identities Bijectively

Markus Fulmek

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Viewing Determinants as Nonintersecting Lattice Paths yields Classical Determinantal Identities Bijectively

机译：将行列式视为非相交的晶格路径可双向产生经典行列式恒等式

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摘要

In this paper, we show how general determinants may be viewed as generating functions of?nonintersecting lattice paths, using the?Lindstr?m-Gessel-Viennot-method?and the Jacobi Trudi identity together with elementary observations.

机译：在本文中，我们展示了如何使用“ Lindstrm-Gessel-Viennot-方法”和Jacobi Trudi身份以及基本观测值，将一般行列式视为“不相交晶格路径”的函数。

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来源
《Electronic Journal Of Combinatorics》 |2012年第3期|共页
作者
Markus Fulmek;
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中图分类离散数学;
关键词
determinantal identitiesnonintersecting lattice pathsSchur function identities;

机译：确定性身份非相交的晶格路径舒尔函数身份;

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2. Further determinant identities related to classical root systems [J] . Wenchang Chu Czechoslovak Mathematical Journal . 2017,第4期

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7. Viewing determinants as nonintersecting lattice paths yields classical determinantal identities bijectively [O] . Fulmek, Markus 2010

机译：将决定因素视为非相交的晶格路径会产生经典的决定性身份是双射的

Viewing Determinants as Nonintersecting Lattice Paths yields Classical Determinantal Identities Bijectively

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