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Critical points of master functions and ...

Varchenko, Alexander...

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Critical points of master functions and integrable hierarchies by Varchenko, Alexander ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	We consider the population of critical points generated from the trivial critical point of the master function with no variables and associated with the trivial representation of the affine Lie algebra $\hat{\frak{sl}}_N$. We show that the critical points of this population define rational solutions of the equations of the mKdV hierarchy associated with $\hat{\frak{sl}}_N$. We also construct critical points from suitable $N$-tuples of tau-functions. The construction is based on a Wronskian identity for tau-functions. In particular, we construct critical points from suitable $N$-tuples of Schur polynomials and prove a Wronskian identity for Schur polynomials.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1207.2274

Citation

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AMA 11th EditionReferences

Varchenko, Alexander. Critical points of master functions and integrable hierarchies. Australian National University. July 27, 2023. Accessed August 09, 2025. https://online.provdatabase.com/cite/5522

APA 7th EditionReferences

Varchenko, Alexander. (2023). Critical points of master functions and integrable hierarchies. Australian National University. https://online.provdatabase.com/cite/5522

Chicago 17th EditionReferences

Varchenko, Alexander. Critical points of master functions and integrable hierarchies. Australian National University. 2023. https://online.provdatabase.com/cite/5522

HarvardReferences

Varchenko, Alexander. (2023). Critical points of master functions and integrable hierarchies. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5522. (Accessed 09 August 2025).

Harvard AustraliaReferences

Varchenko, Alexander, 2023, Critical points of master functions and integrable hierarchies, Australian National University, viewed 09 August 2025, <https://online.provdatabase.com/cite/5522>

MLA 9th EditionWorks Cited

Varchenko, Alexander. Critical points of master functions and integrable hierarchies. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5522.

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