On Representations of SLn with Algebras of Invariants being Complete Intersections
Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 207-229
We obtain the complete list of representations of SLn such that the algebra of invariants is a hypersurface. We also give a list containing all the representations of SLn such that the algebra of invariants is a complete intersection.
DOI:
10.5802/jolt.230
Classification:
20G05, 14M10, 14L24
Keywords: algebraic groups, representations, complete intersections, algebras of invariants
Keywords: algebraic groups, representations, complete intersections, algebras of invariants
@article{JOLT_2001_11_1_a11,
author = {D. A. Shmel'kin},
title = {On {Representations} of {SL\protect\textsubscript{n}} with {Algebras} of {Invariants} being {Complete} {Intersections}},
journal = {Journal of Lie Theory},
pages = {207--229},
year = {2001},
volume = {11},
number = {1},
doi = {10.5802/jolt.230},
zbl = {0982.20028},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.230/}
}
TY - JOUR AU - D. A. Shmel'kin TI - On Representations of SLn with Algebras of Invariants being Complete Intersections JO - Journal of Lie Theory PY - 2001 SP - 207 EP - 229 VL - 11 IS - 1 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.230/ DO - 10.5802/jolt.230 ID - JOLT_2001_11_1_a11 ER -
D. A. Shmel'kin. On Representations of SLn with Algebras of Invariants being Complete Intersections. Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 207-229. doi: 10.5802/jolt.230
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