|
|
|
|
References
|
|
| |
| 1. |
M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, and C. Stroppel, “Translation functors and decomposition numbers for the periplectic Lie superalgebra $\mathfrak{p}(n)$”, Math. Res. Lett., 26:3 (2019), 643–710 |
| 2. |
M. Balagović, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, and C. Stroppel, “The affine VW supercategory”, Selecta Math. (N.S.), 26:2 (2020), 20, 42 pp. |
| 3. |
B. D. Boe, J. R. Kujawa, and D. K. Nakano, “Complexity and module varieties for classical Lie superalgebras”, Int. Math. Res. Not. IMRN, 2011, no. 3, 696–724 |
| 4. |
J. Brundan, J. Comes, D. Nash, and A. Reynolds, “A basis theorem for the affine oriented Brauer category and its cyclotomic quotients”, Quantum Topol., 8:1 (2017), 75–112 |
| 5. |
J. Brundan and A. P. Ellis, “Monoidal supercategories”, Comm. Math. Phys., 351:3 (2017), 1045–1089 |
| 6. |
C. Carmeli and R. Fioresi, “Superdistributions, analytic and algebraic super Harish-Chandra pairs”, Pacific J. Math., 263:1 (2013), 29–51 |
| 7. |
C.-W. Chen, “Finite-dimensional representations of periplectic Lie superalgebras”, J. Algebra, 443 (2015), 99–125 |
| 8. |
C.-W. Chen and Y.-N. Peng, “Affine periplectic Brauer algebras”, J. Algebra, 501 (2018), 345–372 |
| 9. |
E. T. Cline, B. J. Parshall, and L. L. Scott, “Duality in highest weight categories”, Classical groups and related topics (Beijing, 1987), Contemp. Math., 82, Amer. Math. Soc., Providence, RI, 1989, 7–22 |
| 10. |
K. Coulembier, “The periplectic Brauer algebra”, Proc. Lond. Math. Soc. (3), 117:3 (2018), 441–482 |
| 11. |
K. Coulembier, “Tensor ideals, Deligne categories and invariant theory”, Selecta Math. (N.S.), 24:5 (2018), 4659–4710 |
| 12. |
K. Coulembier and M. Ehrig, “The periplectic Brauer algebra II: Decomposition multiplicities”, J. Comb. Algebra, 2:1 (2018), 19–46 |
| 13. |
K. Coulembier and M. Ehrig, The periplectic Brauer algebra III: the Deligne category, arXiv: 1704.07547 [math.RT] |
| 14. |
K. Coulembier, I. Entova-Aizenbud, and T. Heidersdorf, Monoidal abelian envelopes and a conjecture of Benson–Etingof, arXiv: 1911.04303 [math.RT] |
| 15. |
P. Deligne, “Catégories tannakiennes”, The Grothendieck Festschrift, v. II, Progr. Math., 87, Birkhäuser Boston, Boston, MA, 1990, 111–195 |
| 16. |
P. Deligne, “Catégories tensorielles”, Mosc. Math. J., 2 (2002), 227–248 |
| 17. |
P. Deligne, “La catégorie des représentations du groupe symétrique $S_t$, lorsque $t$ n'est pas un entier naturel”, Algebraic groups and homogeneous spaces, Tata Inst. Fund. Res. Stud. Math., 19, Tata Inst. Fund. Res., Mumbai, 2007, 209–273 |
| 18. |
P. Deligne, G. I. Lehrer, and R. B. Zhang, “The first fundamental theorem of invariant theory for the orthosymplectic super group”, Adv. Math., 327 (2018), 4–24 |
| 19. |
P. Deligne and J. S. Milne, “Tannakian categories”, Hodge cycles, motives, and Shimura varieties, Lecture Notes in Mathematics, 900, Springer-Verlag, 1982, 101–228 |
| 20. |
M. Duflo and V. Serganova, On associated variety for Lie superalgebras, arXiv: math/0507198 [math.RT] |
| 21. |
I. Entova-Aizenbud, V. Hinich, and V. Serganova, “Deligne categories and the limit of categories $\mathrm {Rep}(\mathrm{GL}(m|n))$”, Int. Math. Res. Not. IMRN, 2020, no. 15, 4602–4666 |
| 22. |
P. Etingof, “Representation theory in complex rank, II”, Adv. Math., 300 (2016), 473–504 |
| 23. |
P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik, Tensor categories, Mathematical Surveys and Monographs, 205, American Mathematical Society, Providence, RI, 2015 |
| 24. |
M. Gorelik, “The center of a simple $P$-type Lie superalgebra”, J. Algebra, 246:1 (2001), 414–428 |
| 25. |
J. R. Kujawa and B. C. Tharp, “The marked Brauer category”, J. Lond. Math. Soc. (2), 95:2 (2017), 393–413 |
| 26. |
A. Masuoka, “Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field”, Transform. Groups, 17:4 (2012), 1085–1121 |
| 27. |
J. S. Milne, Algebraic groups. The theory of group schemes of finite type over a field, Cambridge Studies in Advanced Mathematics, 170, Cambridge University Press, Cambridge, 2017 |
| 28. |
D. Moon, “Tensor product representations of the Lie superalgebra ${\mathfrak p}(n)$ and their centralizers”, Comm. Algebra, 31:5 (2003), 2095–2140 |
| 29. |
R. Nagpal, S. V. Sam, and A. Snowden, “Noetherianity of some degree two twisted skew-commutative algebras”, Selecta Math. (N.S.), 25:1 (2019), 4, 26 pp. |
| 30. |
S. Sahi, H. Salmasian, and V. Serganova, “The Capelli eigenvalue problem for Lie superalgebras”, Math. Z., 294:1-2 (2020), 359–395 |
| 31. |
V. Serganova, “On representations of the Lie superalgebra $p(n)$”, J. Algebra, 258:2 (2002), 615–630 |
| 32. |
V. Serganova, “On the superdimension of an irreducible representation of a basic classical Lie superalgebra”, Supersymmetry in mathematics and physics, Lecture Notes in Math., 2027, Springer, Heidelberg, 2011, 253–273 |
| 33. |
V. Serganova, “Classical Lie superalgebras at infinity”, Advances in Lie superalgebras, Springer INdAM Ser., 7, Springer, Cham, 2014, 181–201 |
| 34. |
B. C. Tharp, Representations of the marked Brauer algebra, Ph.D. thesis, University of Oklahoma Graduate College, 2017 |