On infinite-dimensional limit of the Steinberg representations
Yury A.Neretin
TL;DR
This paper introduces a method to construct the Steinberg representation that seamlessly extends to an infinite-dimensional setting, providing new insights into its structure and potential applications.
Contribution
It offers a novel construction of the Steinberg representation with an automatic limit process to infinite dimensions, advancing understanding in representation theory.
Findings
Successful construction of the infinite-dimensional Steinberg representation
Demonstration of the limit process in the representation
Potential applications in infinite-dimensional algebraic groups
Abstract
We present a construction of the Steinberg representation admitting an automatic pass to an infinite-dimensional limit.
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