Details

Autor(en) / Beteiligte

• Nagpal, Rohit
• Sam, Steven V.
• Snowden, Andrew

Titel

Noetherianity of some degree two twisted skew-commutative algebras

Ist Teil von

• Selecta mathematica (Basel, Switzerland), 2019-03, Vol.25 (1), p.1-26, Article 4

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A major open problem in the theory of twisted commutative algebras (tca’s) is proving noetherianity of finitely generated tca’s. For bounded tca’s this is easy; in the unbounded case, noetherianity is only known for Sym ( Sym 2 ( C ∞ ) ) and Sym ( ⋀ 2 ( C ∞ ) ) . In this paper, we establish noetherianity for the skew-commutative versions of these two algebras, namely ⋀ ( Sym 2 ( C ∞ ) ) and ⋀ ( ⋀ 2 ( C ∞ ) ) . The result depends on work of Serganova on the representation theory of the infinite periplectic Lie superalgebra, and has found application in the work of Miller–Wilson on “secondary representation stability” in the cohomology of configuration spaces.