References
- Borcherds, R. (1988). Generalized Kac-Moody algebras. J. Algebra. 115(2): 501–512.
- Bozec, T., Schiffmann, O. (2019). Counting absolutely cuspidals for quivers. Math. Z. 292(1/2): 133–149. doi:10.1007/s00209-018-2155-5
- Bozec, T., Schiffmann, O., Vasserot, E. (2017). On the number of points of nilpotent quiver varieties over finite fields. arXiv:1701.01797, January.
- Crawley-Boevey, W., Van den Bergh, M. (2004). Absolutely indecomposable representations and Kac-Moody Lie algebras. Invent. Math. 155(3): 537–559. With an appendix by Hiraku Nakajima. doi:10.1007/s00222-003-0329-0
- Davison, B. (2013). The critical CoHA of a quiver with potential. arXiv:1311.7172, November.
- Davison, B. (2016). The integrality conjecture and the cohomology of preprojective stacks. arXiv:1602.02110, February.
- Davison, B. (2018). Purity of critical cohomology and Kac’s conjecture. Math. Res. Lett. 25(2): 469–488.
- Davison, B. (2020). BPS Lie algebras and the less perverse filtration on the preprojective CoHA. arXiv:2007.03289, July.
- Davison, B., Meinhardt, S. (2016). Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras. arXiv:1601.02479, January.
- Gabriel, P. (1972). Unzerlegbare Darstellungen. I. Manuscripta Math. 6: 71–103; correction, ibid. 6 (1972), 309. doi:10.1007/BF01298413
- Hall, M., Jr. Combinatorial Theory, Wiley-Interscience Series in Discrete Mathematics. 2nd ed., New York: A Wiley-Interscience Publication. 1986.
- Hausel, T. (2010). Kac’s conjecture from Nakajima quiver varieties. Invent. Math. 181(1): 21–37.
- Hausel, T., Letellier, E., Rodriguez-Villegas, F. (2013). Positivity for Kac polynomials and DT-invariants of quivers. Ann. of Math. (2). 177(3): 1147–1168.
- Hausel, T., Rodriguez-Villegas, F. (2008). Mixed Hodge polynomials of character varieties. Invent. Math. 174(3): 555–624. With an appendix by Nicholas M. Katz. doi:10.1007/s00222-008-0142-x
- Hausel, T., Rodriguez-Villegas, F. (2015). Cohomology of large semiprojective hyperkähler varieties. Astérisque 370: 113–156.
- Hua, J. (2000). Counting representations of quivers over finite fields. J. Algebra. 226(2): 1011–1033.
- Kac, V. G. (1980). Infinite root systems, representations of graphs and invariant theory. Invent. Math. 56(1): 57–92.
- Kac, V. G. (1980). Some remarks on representations of quivers and infinite root systems. In Vlastimil Dlab and Peter Gabriel (Editors), Representation Theory, II (Proc. Second Internat. Conf., Carleton Univ., Ottawa, Ont., 1979), Vol. 832 of Lecture Notes in Math., Berlin: Springer, pp. 311–327.
- Kac, V. G. (1982). Infinite root systems, representations of graphs and invariant theory. II. J. Algebra. 78(1): 141–162. doi:10.1016/0021-8693(82)90105-3
- Kac, V. G. (1983). Root systems, representations of quivers and invariant theory. In Francesco Gherardelli (Editor), Invariant Theory (Montecatini, 1982), Vol. 996 of Lecture Notes in Math. Berlin: Springer, pp. 74–108.
- Kac, V. G. (1990). Infinite-Dimensional Lie Algebras, 3rd ed. Cambridge: Cambridge University Press.
- King, A. D. (1994). Moduli of representations of finite-dimensional algebras. Quart. J. Math. Oxford Ser. (2) 45(180): 515–530.
- Maulik, D., Okounkov, A. (2019). Quantum groups and quantum cohomology. Astérisque. (408):ix + 209.
- Nakajima, H. (1994). Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Duke Math. J. 76(2): 365–416.
- Nakajima, H. (1998). Quiver varieties and Kac-Moody algebras. Duke Math. J. 91(3): 515–560.
- Okounkov, A. On some interesting Lie algebras, Conference in honor of Victor Kac, IMPA, June 2013, talk. Available at: https://www.youtube.com/watch?v=H8rCJ7ls1K4
- Rodriguez Villegas, F. (2011). A refinement of the A-polynomial of quivers. arXiv:1102.5308, February.
- Schiffmann, O., Vasserot, E. (2020). On cohomological Hall algebras of quivers: generators. J. Reine Angew. Math. 760: 59–132. doi:10.1515/crelle-2018-0004