Abstract
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We formulate generalized Brascamp–Lieb inequalities for representations of bipartite
quivers and establish necessary and sufficient conditions for such inequalities.
Notably, we show contra Lieb that Gaussians do not saturate certain types of quiver
Brascamp–Lieb inequalities.
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Keywords
quiver, quivers, Brascamp, Lieb, inequality, inequalities
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Mathematical Subject Classification
Primary: 16G20, 26D15, 47B90
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Milestones
Received: 11 July 2024
Revised: 30 September 2024
Accepted: 15 November 2024
Published: 19 December 2024
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| © 2024 The Author(s), under
exclusive license to MSP (Mathematical Sciences Publishers).
Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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