Publications
- R. Boltje:
A canonical Brauer induction formula,
Astérisque 181-182 (1990), 31-59.
- R. Boltje, V. Snaith, P. Symonds:
Algebraicisation of explicit Brauer induction,
J. Algebra 148 (1992), 504-527.
- R. Boltje, G.-M. Cram, V. Snaith:
Conductors in the non-separable residue field case,
in: Algebraic K-Theory and Algebraic Topology, J. F. Jardine, P. Goerss (eds.), Kluwer 1993, 1-34.
- R. Boltje:
Identities in representation theory via chain complexes,
J. Algebra 167 (1994), 417-447.
- R. Boltje:
Glauberman's correspondence via canonical induction formulae,
Akad. gemein. Wiss. Erfurt, Sitzungsber. Math.-Nat. Kl. 7 (1996), 19-35.
As PDF file.
- R. Boltje:
Class group relations from Burnside ring idempotents,
J. Number Theory 66 (1997), 291-305.
As PDF file.
- R. Boltje:
Canonical induction formulae and the defect of a character,
in: Representation theory of finite groups;
Proceedings of a special research quarter at the Ohio State University, Spring 1995,
R. Solomon (ed.), De Gruyter, Berlin 1997, 29-44.
As PDF file.
- R. Boltje:
Linear source modules and trivial source modules,
Proc. Sympos. Pure Math. 63 (1998), 7-30.
As PDF file.
- R. Boltje:
A general theory of canonical induction formulae,
J. Algebra 206 (1998), 293-343.
As PDF file.
- W. Bley, R. Boltje:
Lubin-Tate formal groups and module structure over Hopf orders,
J. Théor. Nombres Bordeaux 11 (1999), 269-305.
As PDF file.
- R. Boltje, B. Külshammer:
A generalized Brauer construction and linear source modules,
Trans. Amer. Math. Soc. 352 (2000), 3411-3428.
As PDF file.
- R. Boltje:
Alperin's weight conjecture in terms of linear source modules and trivial source modules,
in: Modular Representation Theory of Finite Groups;
Proceedings of a Symposium held at the University of Virginia,
Charlottesville May 8-15, 1998, de Gruyter 2001, 147-155.
As PDF file.
- R. Boltje:
Monomial resolutions,
J. Algebra 246 (2001), 811-848.
As PDF file.
- R. Boltje, B. Külshammer:
Monomial resolutions of trivial source modules,
J. Algebra 248 (2002), 146-201.
As PDF file.
- R. Boltje:
Alperin's weight conjecture and chain complexes,
J. London Math. Soc. 68 (2003), 83-101.
As PDF file.
- W. Bley, R. Boltje:
Cohomological Mackey functors in number theory,
J. Number Theory 105 (2004), 1-37.
As PDF file.
- R. Boltje, B. Külshammer:
The Cartan ring of a finite group,
J. Algebra 283 (2005), 248-253.
As PDF file.
- R. Boltje, B. Külshammer:
Canonical Brauer induction and symmetric groups,
Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 8
(2005), 453-460..
As PDF file.
- R. Boltje, B. Külshammer:
Explicit and canonical Dress induction,
Algebr. Represent. Theory 8 (2005), 731-746.
As PDF file.
- R. Boltje, B. Külshammer:
The ring of modules with endo-permutation source,
Manuscripta Math. 120 (2006), 359-376.
As PDF file.
- W. Bley, R. Boltje:
Computation of locally free class groups,
In: Algorithmic Number Theory, 7th International Symposium, ANTS-VII, Berlin,
Germany, July 23-28, 2006. Proceedings. Springer Lecture Notes in
Computer Science 4076, 72--86.
As PDF file.
- R. Boltje, G. Pfeiffer:
An algorithm for the unit group of the Burnside ring of a finite group,
in "Groups St Andrews 2005", London Math. Soc. Lecture Notes Series 339, 2007, 230-236.
As PDF file.
- R. Boltje, A. Glesser:
On p-monomial modules over local domains,
J. Group Theory 10 (2007), 173-183.
As PDF file.
- R. Boltje, B. Xu:
On p-permutation equivalences: Between Rickard equivalences and isotypies,
Trans. Amer. Math. Soc. 360 (2008), 5067-5087.
As PDF file.
- R. Boltje, B. Külshammer:
On the depth 2 condition for group algebra and Hopf algebra extensions,
J. Algebra 323 (2010), 1783-1796.
As PDF file.
- R. Boltje, R. Hartmann:
Permutation resolutions for Specht modules,
J. Algebraic Combin. 34 (2011), 141-162.
As PDF file.
- R. Boltje, S. Danz, B. Külshammer:
On the depth of subgroups and group algebra extensions,
J. Algebra 335 (2011), 258-281.
As PDF file.
- R. Boltje, B. Külshammer:
Group algebra extensions of depth one,
Algebra Number Theory 5 (2011), 63-73.
As PDF file.
- R. Boltje, S. Danz:
A ghost ring for the left-free double Burnside ring and an application to fusion systems,
Adv. Math. 229 (2012), 1688-1733.
As PDF file.
- R. Boltje, F. Maisch:
Permutation resolutions for Specht modules of Hecke algebras,
J. Algebra 365 (2012), 12-28. As PDF file.
- R. Boltje, S. Danz:
Twisted split category algebras as quasi-hereditary algebras,
Arch. Math. (Basel) 99 (2012), no. 6, 589-600.
As PDF file.
- R. Boltje, S. Danz:
A ghost algebra of the double Burnside algebra in characteristic zero,
J. Pure Appl. Algebra 217 (2013), 608-635.
As PDF file.
- R. Boltje, B. Külshammer:
Central idempotents of the bifree and left-free double Burnside ring,
Israel J. Math. 202 (2014), 161--193.
As PDF file.
- R. Boltje, P. Perepelitsky:
Orthogonal units of the bifree double Burnside ring,
J. Pure Appl. Algebra 219 (2015), 47--58.
As PDF file.
- R. Boltje, S. Danz:
Quasi-hereditary structure of twisted split category algebras revisited,
J. Algebra 440 (2015), 317--353.
As PDF file.
- R. Boltje, O. Coşkun:
Fibered biset functors,
Adv. Math. 339 (2018), 540--598.
As PDF file.
- R. Boltje, G. Raggi-Cárdenas, L. Valero-Elizondo:
The -+ and -+ constructions for biset functors,
J. Algebra 523 (2019), 241--273.
As PDF file.
Preprints
- R. Boltje:
Chain complexes for Alperin's weight conjecture and Dade's
ordinary conjecture in the abelian defect group case.
As PDF file.
- R. Boltje:
Representation rings of finite groups, their species and
idempotent formulae.
As PDF file.
- R. Boltje:
Integrality conditions for elements in ghost rings of generalized Burnside rings.
As PDF file.
- R. Boltje:
A characterization of Adams operations on representation rings.
As PDF file.
- R. Boltje, R. Kessar, M. Linckelmann:
On Picard groups of blocks of finite groups,
Preprint 2018.
As PDF file.
Theses
- R. Boltje:
Kategorien von verallgemeinerten Komplexen und ihre Beschreibung
durch Hopfalgebren,
Diplom-Thesis, Ludwig-Maximilians-Universität München 1985
(Supervisor: B. Pareigis).
- R. Boltje:
Canonical and explicit Brauer induction in the character ring of a
finite group and a generalization for Mackey functors,
Ph.D.-Thesis, Universität Augsburg 1989 (Supervisor: J. Ritter).
- R. Boltje:
Mackey functors and related structures in representation theory and
number theory,
Habilitation-Thesis, Universität Augsburg 1995.
As PDF file.
R. Boltje; February 2019