[AIR14] T. Adachi, O. Iyama, and I. Reiten, g-tilting theory, Compos. Math. 150 (2014), no. 3, 415–452. MR3187626
[AIR15] C. Amiot, O. Iyama, and I. Reiten, Stable categories of Cohen-Macaulay modules and cluster categories, Amer. J. Math. 137 (2015), no. 3, 813–857. MR3357123
[AR85] M. Auslander and I. Reiten, Modules determined by their composition factors, Illinois J. Math. 29 (1985), no. 2, 280–301. MR784524
[AS81] M. Auslander and S. O. Smalø, Almost split sequences in subcategories, J. Algebra 69 (1981), no. 2, 426–454. MR0617088
[Asa20] S. Asai, Semibricks, Int. Math. Res. Not. IMRN 16 (2020), 4993–5054. MR4139031
[Asa22] , Bricks over preprojective algebras and join-irreducible elements in Coxeter groups, J. Pure Appl. Algebra 226 (2022), no. 1, 106812. MR4273083
[ASS06] I. Assem, D. Simson, and A. Skowroński, Elements of the representation theory of associative algebras. Vol. 1, London Mathematical Society Student Texts, vol. 65, Cambridge University Press, Cambridge, 2006. MR2197389
[BB05] A. Björner and F. Brenti, Combinatorics of Coxeter groups, Graduate Texts in Mathematics, vol. 231, Springer, New York, 2005. MR2133266
[BIRS09] A B Buan, O Iyama, I Reiten, and J Scott, Cluster structures for 2-Calabi-Yau categories and unipotent groups, Compos. Math. 145 (2009), no. 4, 1035–1079. MR2521253
[BK12] P. Baumann and J. Kamnitzer, Preprojective algebras and MV polytopes, Represent. Theory 16 (2012), 152–188. MR2892443
[BKK21] P. Baumann, J. Kamnitzer, and A. Knutson, The Mirković-Vilonen basis and Duistermaat-Heckman measures, Acta Math. 227 (2021), no. 1, 1–101. MR4346265
[BKT14] P. Baumann, J. Kamnitzer, and P. Tingley, Aflne Mirković-Vilonen polytopes, Publ. Math. Inst. Hautes Études Sci. 120 (2014), 113–205. MR3270589
[BR87] M. C. R. Butler and C. M. Ringel, Auslander-Reiten sequences with few middle terms and applications to string algebras, Comm. Algebra 15 (1987), no. 1-2, 145–179. MR876976
[BST19] T. Brüstle, D. Smith, and H. Treffinger, Wall and chamber structure for finite-dimensional algebras, Adv. Math. 354 (2019), 106746, 31. MR3989130
[BZ97] A. Berenstein and A. Zelevinsky, Total positivity in Schubert varieties, Comment. Math. Helv. 72 (1997), no. 1, 128–166. MR1456321
[CBS02] W. Crawley-Boevey and J. Schröer, Irreducible components of varieties of modules, J. Reine Angew. Math. 553 (2002), 201–220. MR1944812
[DIJ19] L. Demonet, O. Iyama, and G. Jasso, g-tilting finite algebras, bricks, and î-vectors, Int. Math. Res. Not. IMRN 3 (2019), 852–892. MR3910476
[Eno21] H. Enomoto, Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras, Comm. Algebra 49 (2021), no. 5, 2156–2189. MR4232491
[FG19] C. Fu and S. Geng, Tilting modules and support g-tilting modules over preprojective algebras associated with symmetrizable Cartan matrices, Algebr. Represent. Theory 22 (2019), no. 5, 1239–1260. MR4026632
[Fu17] C. Fu, 2-vectors via g-tilting theory, J. Algebra 473 (2017), 194–220. MR3591148
[GHKK18] M. Gross, P. Hacking, S. Keel, and M. Kontsevich, Canonical bases for cluster algebras, J. Amer. Math. Soc. 31 (2018), no. 2, 497–608. MR3758151
[GLS05] C. Geiss, B. Leclerc, and J. Schröer, Semicanonical bases and preprojective algebras, Ann. Sci. École Norm. Sup. (4) 38 (2005), no. 2, 193–253. MR2144987
[GLS11] C. Geiß, B. Leclerc, and J. Schröer, Kac-Moody groups and cluster algebras, Adv. Math. 228 (2011), no. 1, 329–433. MR2822235
[GLS16] C. Geiß, B. Leclerc, and J. Schröer, Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras, Represent. Theory 20 (2016), 375–413. MR3555157
[GLS17] C. Geiss, B. Leclerc, and J. Schröer, Quivers with relations for symmetrizable Cartan matrices I: Foundations, Invent. Math. 209 (2017), no. 1, 61–158. MR3660306
[GLS18a] C. Geiß, B. Leclerc, and J. Schröer, Quivers with relations for symmetrizable Cartan matrices II: change of symmetrizers, Int. Math. Res. Not. IMRN 2018 (2018), no. 9, 2866–2898. MR3801499
[GLS18b] C. Geiss, B. Leclerc, and J. Schröer, Quivers with relations for symmetrizable Cartan matrices IV: crystal graphs and semicanonical functions, Selecta Math. (N.S.) 24 (2018), no. 4, 3283–3348. MR3848021
[GLS18c] C. Geiß, B. Leclerc, and J. Schröer, Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formulas, Proc. Lond. Math. Soc. (3) 117 (2018), no. 1, 125–148. MR3830892 [GLS20] , Rigid modules and Schur roots, Math. Z. 295 (2020), no. 3-4, 1245–1277. MR4125687
[GP79] I. M. Gel’fand and V. A. Ponomarev, Model algebras and representations of graphs, Funktsional. Anal. i Prilozhen. 13 (1979), no. 3, 1–12. MR545362
[HKW20] J. Hilburn, J. Kamnitzer, and A. Weekes, BFN Springer Theory, 2020. preprint, arXiv:2004.14998v2. [Hum90] J. E. Humphreys, Reflection groups and Coxeter groups, Cambridge Studies in Advanced Mathematics, vol. 29, Cambridge University Press, Cambridge, 1990. MR1066460
[Jia14] Y. Jiang, Parametrizations of canonical bases and irreducible components of nilpotent varieties, Int. Math. Res. Not. IMRN 2014 (2014), no. 12, 3263–3278. MR3217661
[Kül17] J. Külshammer, Pro-species of algebras I: Basic properties, Algebr. Represent. Theory 20 (2017), no. 5, 1215–1238. MR3707912
[Kac90] V. G. Kac, Infinite-dimensional Lie algebras, Third, Cambridge University Press, Cambridge, 1990. MR1104219
[Kam07] J. Kamnitzer, The crystal structure on the set of Mirković-Vilonen polytopes, Adv. Math. 215 (2007), no. 1, 66–93. MR2354986
[Kam10] , Mirković-Vilonen cycles and polytopes, Ann. of Math. (2) 171 (2010), no. 1, 245–294. MR2630039
[Kas91] M. Kashiwara, On crystal bases of the &-analogue of universal enveloping algebras, Duke Math. J. 63 (1991), no. 2, 465–516. MR1115118
[Kel11] B. Keller, On cluster theory and quantum dilogarithm identities, Representations of algebras and related topics, 2011, pp. 85–116. MR2931896
[KS97] M. Kashiwara and Y. Saito, Geometric construction of crystal bases, Duke Math. J. 89 (1997), no. 1, 9–36. MR1458969
[KTW+19] J. Kamnitzer, P. Tingley, B. Webster, A. Weekes, and O. Yacobi, Highest weights for truncated shifted Yangians and product monomial crystals, J. Comb. Algebra 3 (2019), no. 3, 237–303. MR4011667 [Lec16] B. Leclerc, Cluster structures on strata of flag varieties, Adv. Math. 300 (2016), 190–228. MR3534832 [Lus00] G. Lusztig, Semicanonical bases arising from enveloping algebras, Adv. Math. 151 (2000), no. 2, 129–139. MR1758244
[Lus90] , Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), no. 2, 447–498. MR1035415
[McN11] P. J. McNamara, Metaplectic Whittaker functions and crystal bases, Duke Math. J. 156 (2011), no. 1, 1–31. MR2746386
[Miy86] Y. Miyashita, Tilting modules of finite projective dimension, Math. Z. 193 (1986), no. 1, 113–146. MR852914
[Miz14] Y. Mizuno, Classifying g-tilting modules over preprojective algebras of Dynkin type, Math. Z. 277 (2014), no. 3-4, 665–690. MR3229959
[Mur19] K. Murakami, On the module category of generalized preprojective algebras of Dynkin types, 2019. preprint, arXiv:1906.08739v2, to appear in Osaka J. Math.
[Mur22] , PBW parametrizations and generalized preprojective algebras, Adv. Math. 395 (2022), Paper No. 108144. MR4355737
[MV07] I. Mirković and K. Vilonen, Geometric Langlands duality and representations of algebraic groups over commutative rings, Ann. of Math. (2) 166 (2007), no. 1, 95–143. MR2342692
[Nak01] H. Nakajima, Quiver varieties and finite-dimensional representations of quantum aflne algebras, J. Amer. Math. Soc. 14 (2001), no. 1, 145–238. MR1808477
[Nak98] , Quiver varieties and Kac-Moody algebras, Duke Math. J. 91 (1998), no. 3, 515–560. MR1604167 [NW19] H. Nakajima and A. Weekes, Coulomb branches of quiver gauge theories with symmetrizers, 2019. preprint, arXiv:1907.06552v2.
[Rei08] M. Reineke, Framed quiver moduli, cohomology, and quantum groups, J. Algebra 320 (2008), no. 1, 94–115. MR2417980
[Sai94] Y. Saito, PBW basis of quantized universal enveloping algebras, Publ. Res. Inst. Math. Sci. 30 (1994), no. 2, 209–232. MR1265471
[SV20] O. Schi mann and E. Vasserot, On cohomological Hall algebras of quivers: generators, J. Reine Angew. Math. 760 (2020), 59–132. MR4069884
[Tre19] H. Treffinger, On sign-coherence of 2-vectors, J. Pure Appl. Algebra 223 (2019), no. 6, 2382–2400. MR3906554
[TW16] P. Tingley and B. Webster, Mirković-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras, Compos. Math. 152 (2016), no. 8, 1648–1696. MR3542489
[Yur18] T. Yurikusa, Wide subcategories are semistable, Doc. Math. 23 (2018), 35–47. MR3846064