In an attempt to create an algebraic framework for dual canonical bases and total positivity in semisimple groups, we initiate the study of a new class of commutative algebras.
Journal of the American Mathematical Society Template
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About the Journal of the American Mathematical Society format
Journal of the American Mathematical Society is a peer-reviewed journal published by American Mathematical Society, covering Algebraic Geometry and Number Theory, Advanced Algebra and Geometry, Algebraic structures and combinatorial models. Over its lifetime it has published 1,505 papers, which have received 118,904 citations.
| Publisher | American Mathematical Society |
|---|---|
| Reference style | Numbered (AMS) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Journal of the American Mathematical Society 12 (2023), 45–58.
Formats any DOI in Journal of the American Mathematical Society style. No sign-up. |
| Publishes research in | Algebraic Geometry and Number Theory Advanced Algebra and Geometry Algebraic structures and combinatorial models Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology |
| ISSN | 0894-0347 |
| Citation impact (2-yr) | 4.25 |
| h-index | 175 |
| i10-index | 1,145 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.ams.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Journal of the American Mathematical Society per year
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Most-cited papers in Journal of the American Mathematical Society
The authors consider the length, $l_N$, of the longest increasing subsequence of a random permutation of $N$ numbers. The main result in this paper is a proof that the distribution function for $l_N$, suitably centered and scaled, converges to the Tracy-Widom distribution of the largest eigenvalue of a random GUE matrix. The authors also prove…
0.2. We are interested in the problem of constructing bases of U+ as a Q(v) vector space. One class of bases of U+ has been given in [DL]. We call them (or, rather, a slight modification of them, see ?2) bases of PBW type, since for v = 1, they specialize to bases of U+…
In contrast with the finite dimensional case, one of the distinguished features in the theory of infinite dimensional Lie algebras is the modular invariance of the characters of certain representations. It is known [Fr], [KP] that for a given affine Lie algebra, the linear space spanned by the characters of the integrable highest weight modules…